Deck 3: Modeling and Solving Lp Problems in a Spreadsheet

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Question
Exhibit 3.1
The following questions are based on this problem and accompanying Excel windows.
Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced. <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which of the following statements represent the carpentry, varnishing and limited demand for desks constraints?</strong> A) B4:C4 ≤ B5:C5 B) E5 ≤ 0 C) D8:D10 ≤ E8:E10 D) E8:E10 ≤ D8:D10 <div style=padding-top: 35px> The LP model for the problem is <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which of the following statements represent the carpentry, varnishing and limited demand for desks constraints?</strong> A) B4:C4 ≤ B5:C5 B) E5 ≤ 0 C) D8:D10 ≤ E8:E10 D) E8:E10 ≤ D8:D10 <div style=padding-top: 35px> <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which of the following statements represent the carpentry, varnishing and limited demand for desks constraints?</strong> A) B4:C4 ≤ B5:C5 B) E5 ≤ 0 C) D8:D10 ≤ E8:E10 D) E8:E10 ≤ D8:D10 <div style=padding-top: 35px>
Refer to Exhibit 3.1. Which of the following statements represent the carpentry, varnishing and limited demand for desks constraints?

A) B4:C4 ≤ B5:C5
B) E5 ≤ 0
C) D8:D10 ≤ E8:E10
D) E8:E10 ≤ D8:D10
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Question
​In modeling a problem it is usually best to start by entering all equations in a spreadsheet.
Question
The LHS value of a constraint represents the usage of an associated resource by the decision variables.
Question
Which type of spreadsheet cell represents the decision variables in an LP model?

A) Target or set cell
B) Variable cell
C) Constraint cell
D) Constant cell
Question
Decision variables are sometimes referred to as problem parameters. ​
Question
Solving LP problems in Excel requires only a copy and paste operation.
Question
Using Data Envelopment Analysis (DEA) for an inefficient unit, a more efficient composite unit can be found by

A) Solving its DEA problem and retrieving the weights from the answer report.
B) Solving its DEA problem and examining those units whose final value is non-zero.
C) Solving its DEA problem and using the resulting shadow prices as composite weights.
D) Solving its DEA problem and using the positive resulting shadow prices as composite weights.
Question
Exhibit 3.3
The following questions are based on this problem and accompanying Excel windows.
Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit. <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. Which of the following statements could represent a constraint in this problem?</strong> A) B4:C4 ≤ B5:C5 B) E5 ≤ 0 C) D8 = E8 D) E8:E11 ≤ D8:D11 <div style=padding-top: 35px> <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. Which of the following statements could represent a constraint in this problem?</strong> A) B4:C4 ≤ B5:C5 B) E5 ≤ 0 C) D8 = E8 D) E8:E11 ≤ D8:D11 <div style=padding-top: 35px>
Refer to Exhibit 3.3. Which of the following statements could represent a constraint in this problem?

A) B4:C4 ≤ B5:C5
B) E5 ≤ 0
C) D8 = E8
D) E8:E11 ≤ D8:D11
Question
Exhibit 3.5
The following questions are based on this problem and accompanying Excel windows.
A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter. <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula should be entered in cell C18 in the accompanying Excel spreadsheet to compute the quarterly carrying costs?</strong> A) =C15*C3+C6 B) =C15*(C3+C6) C) =C15*C3/2 D) =C15*(C3+C6)/2 <div style=padding-top: 35px> <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula should be entered in cell C18 in the accompanying Excel spreadsheet to compute the quarterly carrying costs?</strong> A) =C15*C3+C6 B) =C15*(C3+C6) C) =C15*C3/2 D) =C15*(C3+C6)/2 <div style=padding-top: 35px> <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula should be entered in cell C18 in the accompanying Excel spreadsheet to compute the quarterly carrying costs?</strong> A) =C15*C3+C6 B) =C15*(C3+C6) C) =C15*C3/2 D) =C15*(C3+C6)/2 <div style=padding-top: 35px>
Refer to Exhibit 3.5. What formula should be entered in cell C18 in the accompanying Excel spreadsheet to compute the quarterly carrying costs?

A) =C15*C3+C6
B) =C15*(C3+C6)
C) =C15*C3/2
D) =C15*(C3+C6)/2
Question
What does the Excel "=SUMPRODUCT(A1:A5,C6;C10)" function do?

A) Sums each range and multiplies the sums.
B) Sum each pair of cells and multiples each sum.
C) Multiplies the contents of cells containing the =SUM() command.
D) Multiplies each pair of cells in two arrays matched by position and sums the products.
Question
Analytic Solver Platform (ASP) is ​functionally similar to Excel Solver but it offers many useful extensions.
Question
What action is required to make Analytic Solver Platform (ASP) solve a specified problem?

A) Type go in cell A1.
B) Click the "Optimize" button on the ASP Ribbon, or the green arrow "Solve" in the Task Pane.
C) Click the Close button in the ASP Parameters dialog box.
D) Click the Guess button in the ASP Parameters dialog box.
Question
Models which are setup in an intuitively appealing, logical layout tend to be the most

A) Reliable
B) Modifiable
C) Auditable
D) Organized
Question
Bounds on the decision variables are known as nonnegativity constraints.​
Question
Exhibit 3.5
The following questions are based on this problem and accompanying Excel windows.
A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter. <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula should be entered in cell C6 in the accompanying Excel spreadsheet to compute ending inventory?</strong> A) =C3-C4+C5 B) =C3+C4-C5 C) =C3-(C4-C5) D) =C5-C4-C3 <div style=padding-top: 35px> <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula should be entered in cell C6 in the accompanying Excel spreadsheet to compute ending inventory?</strong> A) =C3-C4+C5 B) =C3+C4-C5 C) =C3-(C4-C5) D) =C5-C4-C3 <div style=padding-top: 35px> <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula should be entered in cell C6 in the accompanying Excel spreadsheet to compute ending inventory?</strong> A) =C3-C4+C5 B) =C3+C4-C5 C) =C3-(C4-C5) D) =C5-C4-C3 <div style=padding-top: 35px>
Refer to Exhibit 3.5. What formula should be entered in cell C6 in the accompanying Excel spreadsheet to compute ending inventory?

A) =C3-C4+C5
B) =C3+C4-C5
C) =C3-(C4-C5)
D) =C5-C4-C3
Question
Exhibit 3.4
The following questions are based on this problem and accompanying Excel windows.
A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio. <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell D7 in the accompanying Excel spreadsheet to compute the total return?</strong> A) =B7*SUM(D3:D6) B) =SUMPRODUCT(B3:B6,D3:D6) C) =SUM(B3:B6) D) =SUMPRODUCT(B3:E3,B6:E6) <div style=padding-top: 35px> <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell D7 in the accompanying Excel spreadsheet to compute the total return?</strong> A) =B7*SUM(D3:D6) B) =SUMPRODUCT(B3:B6,D3:D6) C) =SUM(B3:B6) D) =SUMPRODUCT(B3:E3,B6:E6) <div style=padding-top: 35px> <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell D7 in the accompanying Excel spreadsheet to compute the total return?</strong> A) =B7*SUM(D3:D6) B) =SUMPRODUCT(B3:B6,D3:D6) C) =SUM(B3:B6) D) =SUMPRODUCT(B3:E3,B6:E6) <div style=padding-top: 35px> <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell D7 in the accompanying Excel spreadsheet to compute the total return?</strong> A) =B7*SUM(D3:D6) B) =SUMPRODUCT(B3:B6,D3:D6) C) =SUM(B3:B6) D) =SUMPRODUCT(B3:E3,B6:E6) <div style=padding-top: 35px>
Refer to Exhibit 3.4. What formula should be entered in cell D7 in the accompanying Excel spreadsheet to compute the total return?

A) =B7*SUM(D3:D6)
B) =SUMPRODUCT(B3:B6,D3:D6)
C) =SUM(B3:B6)
D) =SUMPRODUCT(B3:E3,B6:E6)
Question
A solvable problem must have: ​

A) ​a feasible region that is not an empty set.
B) ​the best solution.
C) no more than two constraints.
D) ​no more than two decision variables.
Question
The built-in Solver in Excel is found under which tab on the ribbon?

A) Tools
B) Insert
C) Data
D) Window
Question
​Excel and other spreadsheets contain an add-on called solver.
Question
Objective cell, variable cells and constraint cells are terms used in Excel solver to describe the purpose of the cells. ​
Question
A heuristic solution is

A) used by Analytic Solver Platform (ASP) when the Guess button is used.
B) guaranteed to produce an optimal solution.
C) used by Analytic Solver Platform (ASP) if Standard GRG Nonlinear method is selected.
D) a rule-of-thumb for making decisions.
Question
How many constraints are there in a transportation problem which has 5 supply points and 4 demand points? (ignore the non-negativity constraints)

A) 4
B) 5
C) 9
D) 20
Question
Exhibit 3.3
The following questions are based on this problem and accompanying Excel windows.
Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit. <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. What formula should be entered in cell D11 in the accompanying Excel spreadsheet to compute the total liters of alcohol supplied?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B11:C11,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px> <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. What formula should be entered in cell D11 in the accompanying Excel spreadsheet to compute the total liters of alcohol supplied?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B11:C11,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px>
Refer to Exhibit 3.3. What formula should be entered in cell D11 in the accompanying Excel spreadsheet to compute the total liters of alcohol supplied?

A) =B4*B5+C4*C5
B) =SUMPRODUCT(B11:C11,$B$4:$C$4)
C) =SUM(B5:C5)
D) =SUM(E8:E10)
Question
In the Analytic Solver Platform dialog box simple upper and lower bounds for decision variables are specified by

A) referring directly to the decision variable cells in the Constraints-Bound area.
B) requiring the addition of the bounds above and below the variable cells.
C) resolving the problem with the bounds added.
D) incorporating the bounds in the objective function.
Question
Spreadsheet modeling is an acquired skill because

A) there is generally only one correct way to build a model.
B) the spreadsheet is free-form providing many modeling options.
C) using Analytic Solver Platform requires lots of experience.
D) spreadsheets are not very easy to use.
Question
Exhibit 3.3
The following questions are based on this problem and accompanying Excel windows.
Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit. <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D11 D) E8:E10 <div style=padding-top: 35px> <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D11 D) E8:E10 <div style=padding-top: 35px>
Refer to Exhibit 3.3. Which cells should be the constraint cells in this problem?

A) B4:C4
B) E5
C) D8:D11
D) E8:E10
Question
Exhibit 3.5
The following questions are based on this problem and accompanying Excel windows.
A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter. <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula could be entered in cell F20 in the accompanying Excel spreadsheet to compute the Total Cost for all four quarters?</strong> A) SUMPRODUCT($C$4:$F$4,C17:F17) B) SUM(C17:F17) + SUM(C18:F18) C) PRODUCT(SUM(C14:F15,C17:F18) D) SUMPRODUCT(C4:F4,C14:F14) + SUMPRODUCT(C6:F6,C15:F15) <div style=padding-top: 35px> <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula could be entered in cell F20 in the accompanying Excel spreadsheet to compute the Total Cost for all four quarters?</strong> A) SUMPRODUCT($C$4:$F$4,C17:F17) B) SUM(C17:F17) + SUM(C18:F18) C) PRODUCT(SUM(C14:F15,C17:F18) D) SUMPRODUCT(C4:F4,C14:F14) + SUMPRODUCT(C6:F6,C15:F15) <div style=padding-top: 35px> <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula could be entered in cell F20 in the accompanying Excel spreadsheet to compute the Total Cost for all four quarters?</strong> A) SUMPRODUCT($C$4:$F$4,C17:F17) B) SUM(C17:F17) + SUM(C18:F18) C) PRODUCT(SUM(C14:F15,C17:F18) D) SUMPRODUCT(C4:F4,C14:F14) + SUMPRODUCT(C6:F6,C15:F15) <div style=padding-top: 35px>
Refer to Exhibit 3.5. What formula could be entered in cell F20 in the accompanying Excel spreadsheet to compute the Total Cost for all four quarters?

A) SUMPRODUCT($C$4:$F$4,C17:F17)
B) SUM(C17:F17) + SUM(C18:F18)
C) PRODUCT(SUM(C14:F15,C17:F18)
D) SUMPRODUCT(C4:F4,C14:F14) + SUMPRODUCT(C6:F6,C15:F15)
Question
Numeric constants should be

A) embedded in formulas.
B) placed in individual cells
C) placed in separate workbooks.
D) entered manually every time a model is solved.
Question
The "Analyze Without Solving" tool in Analytic Solver Platform is useful for

A) verifying the equations in a spreadsheet model.
B) toggling between absolute and relative cell referencing.
C) executing the Excel spreadsheet layout Wizard.
D) naming cells and cell ranges for easier modifiability.
Question
Exhibit 3.4
The following questions are based on this problem and accompanying Excel windows.
A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio. <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. Which cells are changing cells in the accompanying Excel spreadsheet?</strong> A) B3:B6 B) B7:I7 C) C7 D) E7 <div style=padding-top: 35px> <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. Which cells are changing cells in the accompanying Excel spreadsheet?</strong> A) B3:B6 B) B7:I7 C) C7 D) E7 <div style=padding-top: 35px> <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. Which cells are changing cells in the accompanying Excel spreadsheet?</strong> A) B3:B6 B) B7:I7 C) C7 D) E7 <div style=padding-top: 35px> <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. Which cells are changing cells in the accompanying Excel spreadsheet?</strong> A) B3:B6 B) B7:I7 C) C7 D) E7 <div style=padding-top: 35px>
Refer to Exhibit 3.4. Which cells are changing cells in the accompanying Excel spreadsheet?

A) B3:B6
B) B7:I7
C) C7
D) E7
Question
Exhibit 3.1
The following questions are based on this problem and accompanying Excel windows.
Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced. <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px> The LP model for the problem is <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px> <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px>
Refer to Exhibit 3.1. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?

A) =B4*B5+C4*C5
B) =SUMPRODUCT(B8:C8,$B$4:$C$4)
C) =SUM(B5:C5)
D) =SUM(E8:E10)
Question
How many decision variables are there in a transportation problem which has 5 supply points and 4 demand points?

A) 4
B) 5
C) 9
D) 20
Question
Exhibit 3.4
The following questions are based on this problem and accompanying Excel windows.
A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio. <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell B7 in the accompanying Excel spreadsheet to compute total dollars invested?</strong> A) =ADD(B3:B6) B) =SUM(B3:B6) C) =TOTAL(B3:B6) D) =TALLY(B3:B6) <div style=padding-top: 35px> <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell B7 in the accompanying Excel spreadsheet to compute total dollars invested?</strong> A) =ADD(B3:B6) B) =SUM(B3:B6) C) =TOTAL(B3:B6) D) =TALLY(B3:B6) <div style=padding-top: 35px> <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell B7 in the accompanying Excel spreadsheet to compute total dollars invested?</strong> A) =ADD(B3:B6) B) =SUM(B3:B6) C) =TOTAL(B3:B6) D) =TALLY(B3:B6) <div style=padding-top: 35px> <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell B7 in the accompanying Excel spreadsheet to compute total dollars invested?</strong> A) =ADD(B3:B6) B) =SUM(B3:B6) C) =TOTAL(B3:B6) D) =TALLY(B3:B6) <div style=padding-top: 35px>
Refer to Exhibit 3.4. What formula should be entered in cell B7 in the accompanying Excel spreadsheet to compute total dollars invested?

A) =ADD(B3:B6)
B) =SUM(B3:B6)
C) =TOTAL(B3:B6)
D) =TALLY(B3:B6)
Question
Which type of spreadsheet cell represents the left hand sides (LHS) formulas in an LP model?

A) Target or set cell
B) Changing variable cell
C) Constraint cell
D) Constant cell
Question
Scaling problems

A) can cause Analytic Solver Platform to consider a linear problem as nonlinear.
B) can cause problems in accuracy of solutions returned.
C) are caused by small numbers and large numbers used in the same problem.
D) all of these.
Question
Exhibit 3.1
The following questions are based on this problem and accompanying Excel windows.
Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced. <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of carpentry used?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px> The LP model for the problem is <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of carpentry used?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px> <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of carpentry used?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px>
Refer to Exhibit 3.1. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of carpentry used?

A) =B4*B5+C4*C5
B) =SUMPRODUCT(B8:C8,$B$4:$C$4)
C) =SUM(B5:C5)
D) =SUM(E8:E10)
Question
Exhibit 3.2
The following questions are based on this problem and accompanying Excel windows.
The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table. <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which of the following statements will represent the constraint for just assembly hours?</strong> A) B4:C4 ≤ B5:C5 B) D9 ≤ E9 C) D8:D10 ≤ E8:E10 D) E8:E10 ≤ D8:D10 <div style=padding-top: 35px> <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which of the following statements will represent the constraint for just assembly hours?</strong> A) B4:C4 ≤ B5:C5 B) D9 ≤ E9 C) D8:D10 ≤ E8:E10 D) E8:E10 ≤ D8:D10 <div style=padding-top: 35px> <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which of the following statements will represent the constraint for just assembly hours?</strong> A) B4:C4 ≤ B5:C5 B) D9 ≤ E9 C) D8:D10 ≤ E8:E10 D) E8:E10 ≤ D8:D10 <div style=padding-top: 35px>
Refer to Exhibit 3.2. Which of the following statements will represent the constraint for just assembly hours?

A) B4:C4 ≤ B5:C5
B) D9 ≤ E9
C) D8:D10 ≤ E8:E10
D) E8:E10 ≤ D8:D10
Question
What is the significance of an absolute cell reference in Excel?

A) The cell reference will not change if the formula containing the reference is copied to another location
B) The cell will always contain the absolute value of any number entered into it
C) The cell reference changes if the formula containing the reference is copied to another location
D) It is the only formula used to refer to a cell on another spreadsheet
Question
Exhibit 3.2
The following questions are based on this problem and accompanying Excel windows.
The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table. <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?</strong> A) =B4*C4+B5*C5 B) =SUMPRODUCT(B4:C4,B5:C5) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px> <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?</strong> A) =B4*C4+B5*C5 B) =SUMPRODUCT(B4:C4,B5:C5) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px> <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?</strong> A) =B4*C4+B5*C5 B) =SUMPRODUCT(B4:C4,B5:C5) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px>
Refer to Exhibit 3.2. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?

A) =B4*C4+B5*C5
B) =SUMPRODUCT(B4:C4,B5:C5)
C) =SUM(B5:C5)
D) =SUM(E8:E10)
Question
Exhibit 3.2
The following questions are based on this problem and accompanying Excel windows.
The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table. <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <div style=padding-top: 35px> <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <div style=padding-top: 35px> <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <div style=padding-top: 35px>
Refer to Exhibit 3.2. Which cells should be changing cells in this problem?

A) B4:C4
B) E5
C) D8:D10
D) E8:E10
Question
Which tab in the Analytic Solver Platform task pane is used to define an optimization problem?

A) Guess
B) Model
C) Change
D) Delete
Question
Which of the following describes Data Envelopment Analysis (DEA).

A) DEA finds the most effective company among some set of companies.
B) DEA determines if a company is converting inputs to outputs as effectively as possible.
C) DEA determines how effective a company converts inputs to outputs compared to other companies.
D) DEA compares how effective a company converts inputs to outputs compared to a benchmark composite of all companies.
Question
Exhibit 3.3
The following questions are based on this problem and accompanying Excel windows.
Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit. <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total cost?</strong> A) =B4*C4+B5*C5 B) =SUMPRODUCT(B4:C4,B5:C5) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px> <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total cost?</strong> A) =B4*C4+B5*C5 B) =SUMPRODUCT(B4:C4,B5:C5) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px>
Refer to Exhibit 3.3. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total cost?

A) =B4*C4+B5*C5
B) =SUMPRODUCT(B4:C4,B5:C5)
C) =SUM(B5:C5)
D) =SUM(E8:E10)
Question
You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following?
Objective Cell:
Variables Cells:
Constraints Cells: You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following? Objective Cell: Variables Cells: Constraints Cells:   ​  <div style=padding-top: 35px> You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following? Objective Cell: Variables Cells: Constraints Cells:   ​  <div style=padding-top: 35px>
Question
Which type of spreadsheet cell represents the objective function in an LP model?

A) Objective cell
B) Changing variable cell
C) Constraint cell
D) Constant cell
Question
Which function is equivalent to =SUMPRODUCT(A1:A3,B1:B3)?

A) =SUM(PRODUCT((A1:A3,B1:B3))
B) =PRODUCT(SUM((A1:A3,B1:B3))
C) =PRODUCT(A1+B1,A2+B2,A3+B3))
D) =A1*B1+A2*B2+A3*B3
Question
The "Objective Value of" option in the Analytic Solver Platform task pane may be used to

A) find a solution at a maximum value.
B) find a solution at a minimum value.
C) find a solution for a specific objective function value.
D) returns the best feasible solution.
Question
What function is used to add the contents of cells A1, A2 and A3?

A) =A1+A2+A3
B) =ADD(A1:A3)
C) =TOTAL(A1:A3)
D) =PRODUCT(A1:A3)
Question
Exhibit 3.1
The following questions are based on this problem and accompanying Excel windows.
Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced. <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <div style=padding-top: 35px> The LP model for the problem is <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <div style=padding-top: 35px> <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <div style=padding-top: 35px>
Refer to Exhibit 3.1. Which cells should be changing cells in this problem?

A) B4:C4
B) E5
C) D8:D10
D) E8:E10
Question
A financial planner wants to design a portfolio of investments for a client. The client has $400,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 30% of the money in any one investment, at least one half should be invested in long-term bonds which mature in six or more years, and no more than 40% of the total money should be invested in B or C since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio. A financial planner wants to design a portfolio of investments for a client. The client has $400,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 30% of the money in any one investment, at least one half should be invested in long-term bonds which mature in six or more years, and no more than 40% of the total money should be invested in B or C since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.   ​   ​   ​   What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells:<div style=padding-top: 35px> A financial planner wants to design a portfolio of investments for a client. The client has $400,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 30% of the money in any one investment, at least one half should be invested in long-term bonds which mature in six or more years, and no more than 40% of the total money should be invested in B or C since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.   ​   ​   ​   What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells:<div style=padding-top: 35px> A financial planner wants to design a portfolio of investments for a client. The client has $400,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 30% of the money in any one investment, at least one half should be invested in long-term bonds which mature in six or more years, and no more than 40% of the total money should be invested in B or C since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.   ​   ​   ​   What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells:<div style=padding-top: 35px> A financial planner wants to design a portfolio of investments for a client. The client has $400,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 30% of the money in any one investment, at least one half should be invested in long-term bonds which mature in six or more years, and no more than 40% of the total money should be invested in B or C since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.   ​   ​   ​   What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells:<div style=padding-top: 35px> What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of this problem?
Objective Cell:
Variables Cells:
Constraints Cells:
Question
You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following?
Objective Cell:
Variables Cells:
Constraints Cells: You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following? Objective Cell: Variables Cells: Constraints Cells:   ​   ​ ​<div style=padding-top: 35px> You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following? Objective Cell: Variables Cells: Constraints Cells:   ​   ​ ​<div style=padding-top: 35px>
Question
Exhibit 3.2
The following questions are based on this problem and accompanying Excel windows.
The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table. <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D12 D) E8:E12 <div style=padding-top: 35px> <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D12 D) E8:E12 <div style=padding-top: 35px> <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D12 D) E8:E12 <div style=padding-top: 35px>
Refer to Exhibit 3.2. Which cells should be the constraint cells in this problem?

A) B4:C4
B) E5
C) D8:D12
D) E8:E12
Question
Exhibit 3.2
The following questions are based on this problem and accompanying Excel windows.
The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table. <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of wiring used?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px> <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of wiring used?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px> <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of wiring used?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <div style=padding-top: 35px>
Refer to Exhibit 3.2. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of wiring used?

A) =B4*B5+C4*C5
B) =SUMPRODUCT(B8:C8,$B$4:$C$4)
C) =SUM(B5:C5)
D) =SUM(E8:E10)
Question
Exhibit 3.1
The following questions are based on this problem and accompanying Excel windows.
Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced. <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <div style=padding-top: 35px> The LP model for the problem is <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <div style=padding-top: 35px> <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <div style=padding-top: 35px>
Refer to Exhibit 3.1. Which cells should be the constraint cells in this problem?

A) B4:C4
B) E5
C) D8:D10
D) E8:E10
Question
Exhibit 3.3
The following questions are based on this problem and accompanying Excel windows.
Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit. <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <div style=padding-top: 35px> <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <div style=padding-top: 35px>
Refer to Exhibit 3.3. Which cells should be changing cells in this problem?

A) B4:C4
B) E5
C) D8:D10
D) E8:E10
Question
The constraints X1 ≥ 0 and X2 ≥ 0 are referred to as

A) positivity constraints.
B) optimality conditions.
C) left hand sides.
D) nonnegativity conditions.
Question
Exhibit 3.5
The following questions are based on this problem and accompanying Excel windows.
A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter. <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. Which cells are changing cells in the accompanying Excel spreadsheet?</strong> A) C4:F4 B) C9:F9 C) F20 D) C12:F12 <div style=padding-top: 35px> <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. Which cells are changing cells in the accompanying Excel spreadsheet?</strong> A) C4:F4 B) C9:F9 C) F20 D) C12:F12 <div style=padding-top: 35px> <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. Which cells are changing cells in the accompanying Excel spreadsheet?</strong> A) C4:F4 B) C9:F9 C) F20 D) C12:F12 <div style=padding-top: 35px>
Refer to Exhibit 3.5. Which cells are changing cells in the accompanying Excel spreadsheet?

A) C4:F4
B) C9:F9
C) F20
D) C12:F12
Question
The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months. The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months.   Enter the numbers in the appropriate cells of ranges B4:H6 in the Excel spreadsheet to solve this problem based on the following formulation.   ​   ​   ​<div style=padding-top: 35px> Enter the numbers in the appropriate cells of ranges B4:H6 in the Excel spreadsheet to solve this problem based on the following formulation. The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months.   Enter the numbers in the appropriate cells of ranges B4:H6 in the Excel spreadsheet to solve this problem based on the following formulation.   ​   ​   ​<div style=padding-top: 35px> The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months.   Enter the numbers in the appropriate cells of ranges B4:H6 in the Excel spreadsheet to solve this problem based on the following formulation.   ​   ​   ​<div style=padding-top: 35px> The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months.   Enter the numbers in the appropriate cells of ranges B4:H6 in the Excel spreadsheet to solve this problem based on the following formulation.   ​   ​   ​<div style=padding-top: 35px>
Question
Data Envelopment Analysis (DEA) is an LP-based methodology in which weighted sums of inputs and outputs are calculated and

A) the constraints capture the maximum effectiveness of each unit.
B) the objective is to maximize every units output.
C) the constraints ensure the sum of the weighted outputs is one.
D) the objective for each unit is to maximize the weighted sum of its outputs.
Question
Microsoft Excel contains a built-in optimizer called

A) what-if engines.
B) calculators.
C) solvers.
D) risk analyzers.
Question
You have been given the following linear programming model and Excel spreadsheet to solve this problem. What formulas should be entered into cells E5 and D8:D10 to implement this model? You have been given the following linear programming model and Excel spreadsheet to solve this problem. What formulas should be entered into cells E5 and D8:D10 to implement this model?   ​   ​<div style=padding-top: 35px> You have been given the following linear programming model and Excel spreadsheet to solve this problem. What formulas should be entered into cells E5 and D8:D10 to implement this model?   ​   ​<div style=padding-top: 35px>
Question
You have been given the following linear programming model and Excel spreadsheet to solve this problem. What formulas should be entered into cells E5 and D8:D10 to implement this model? You have been given the following linear programming model and Excel spreadsheet to solve this problem. What formulas should be entered into cells E5 and D8:D10 to implement this model?   ​   ​ ​<div style=padding-top: 35px> You have been given the following linear programming model and Excel spreadsheet to solve this problem. What formulas should be entered into cells E5 and D8:D10 to implement this model?   ​   ​ ​<div style=padding-top: 35px>
Question
A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table. A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem? Objective Cell: Variables Cells: Constraints Cells:   ​  <div style=padding-top: 35px> What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem?
Objective Cell:
Variables Cells:
Constraints Cells: A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem? Objective Cell: Variables Cells: Constraints Cells:   ​  <div style=padding-top: 35px> A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem? Objective Cell: Variables Cells: Constraints Cells:   ​  <div style=padding-top: 35px>
Question
A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. The following table summarizes the data for the problem. A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. The following table summarizes the data for the problem.   What are the key formulas in cells F5 and E8 for this Excel spreadsheet implementation of the following formulation?   ​  <div style=padding-top: 35px> What are the key formulas in cells F5 and E8 for this Excel spreadsheet implementation of the following formulation? A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. The following table summarizes the data for the problem.   What are the key formulas in cells F5 and E8 for this Excel spreadsheet implementation of the following formulation?   ​  <div style=padding-top: 35px> A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. The following table summarizes the data for the problem.   What are the key formulas in cells F5 and E8 for this Excel spreadsheet implementation of the following formulation?   ​  <div style=padding-top: 35px>
Question
The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months. The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months.   Based on the following formulation, is City East efficient? If not, what input and output values should they aspire to in order to become efficient?   ​<div style=padding-top: 35px> Based on the following formulation, is City East efficient? If not, what input and output values should they aspire to in order to become efficient? The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months.   Based on the following formulation, is City East efficient? If not, what input and output values should they aspire to in order to become efficient?   ​<div style=padding-top: 35px>
Question
A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table. A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   What are the key formulas in cells I12 and B12 for this Excel spreadsheet implementation of the following formulation?   ​  <div style=padding-top: 35px> What are the key formulas in cells I12 and B12 for this Excel spreadsheet implementation of the following formulation? A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   What are the key formulas in cells I12 and B12 for this Excel spreadsheet implementation of the following formulation?   ​  <div style=padding-top: 35px> A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   What are the key formulas in cells I12 and B12 for this Excel spreadsheet implementation of the following formulation?   ​  <div style=padding-top: 35px>
Question
A paper mill has received an order for rolls of paper. The customer wants 400 12" wide rolls, 300 18" rolls and 200 24" rolls. The company has 40" wide rolls of paper which it can slit to the appropriate width. The company wants to minimize the number of rolls it must use to fill the order.

Formulate the LP for this problem.
Question
A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. There are only 50 acre ft of irrigation available and only 8,000 pounds/acre of fertilizer available. The following table summarizes the data for the problem. A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. There are only 50 acre ft of irrigation available and only 8,000 pounds/acre of fertilizer available. The following table summarizes the data for the problem.   Enter the numbers in the appropriate cells of ranges B12:D12 and E8:F12 in the Excel spreadsheet to solve this problem based on the following formulation.   ​  <div style=padding-top: 35px> Enter the numbers in the appropriate cells of ranges B12:D12 and E8:F12 in the Excel spreadsheet to solve this problem based on the following formulation. A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. There are only 50 acre ft of irrigation available and only 8,000 pounds/acre of fertilizer available. The following table summarizes the data for the problem.   Enter the numbers in the appropriate cells of ranges B12:D12 and E8:F12 in the Excel spreadsheet to solve this problem based on the following formulation.   ​  <div style=padding-top: 35px> A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. There are only 50 acre ft of irrigation available and only 8,000 pounds/acre of fertilizer available. The following table summarizes the data for the problem.   Enter the numbers in the appropriate cells of ranges B12:D12 and E8:F12 in the Excel spreadsheet to solve this problem based on the following formulation.   ​  <div style=padding-top: 35px>
Question
Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons): Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):   The following is the LP model for this logistics problem.   ​   What formula goes in cells F10, E3, E4, E5, and B6 of this Excel spreadsheet?<div style=padding-top: 35px> The following is the LP model for this logistics problem. Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):   The following is the LP model for this logistics problem.   ​   What formula goes in cells F10, E3, E4, E5, and B6 of this Excel spreadsheet?<div style=padding-top: 35px> Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):   The following is the LP model for this logistics problem.   ​   What formula goes in cells F10, E3, E4, E5, and B6 of this Excel spreadsheet?<div style=padding-top: 35px> What formula goes in cells F10, E3, E4, E5, and B6 of this Excel spreadsheet?
Question
You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following?
Objective Cell:
Variables Cells:
Constraints Cells: You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following? Objective Cell: Variables Cells: Constraints Cells:   ​  <div style=padding-top: 35px> You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following? Objective Cell: Variables Cells: Constraints Cells:   ​  <div style=padding-top: 35px>
Question
Robert Hope received a welcome surprise in this management science class; the instructor has decided to let each person define the percentage contribution to their grade for each of the graded instruments used in the class. These instruments were: homework, an individual project, a mid-term exam, and a final exam. Robert's grades on these instruments were 75, 94, 85, and 92, respectively. However, the instructor complicated Robert's task somewhat by adding the following stipulations: Robert Hope received a welcome surprise in this management science class; the instructor has decided to let each person define the percentage contribution to their grade for each of the graded instruments used in the class. These instruments were: homework, an individual project, a mid-term exam, and a final exam. Robert's grades on these instruments were 75, 94, 85, and 92, respectively. However, the instructor complicated Robert's task somewhat by adding the following stipulations:   Formulate an LP model for Robert to maximize his numerical grade.<div style=padding-top: 35px> Formulate an LP model for Robert to maximize his numerical grade.
Question
A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost, demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 100 units and management wants to keep at least 50 units on hand. Quarterly inventory holding cost is 4% of the cost of production. There are currently 50 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost, demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 100 units and management wants to keep at least 50 units on hand. Quarterly inventory holding cost is 4% of the cost of production. There are currently 50 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.   ​   ​   What formulas are required for cells D3, D6, D8, D15, D17 and D18 in the Excel spreadsheet implementation of the formulation?<div style=padding-top: 35px> A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost, demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 100 units and management wants to keep at least 50 units on hand. Quarterly inventory holding cost is 4% of the cost of production. There are currently 50 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.   ​   ​   What formulas are required for cells D3, D6, D8, D15, D17 and D18 in the Excel spreadsheet implementation of the formulation?<div style=padding-top: 35px> A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost, demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 100 units and management wants to keep at least 50 units on hand. Quarterly inventory holding cost is 4% of the cost of production. There are currently 50 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.   ​   ​   What formulas are required for cells D3, D6, D8, D15, D17 and D18 in the Excel spreadsheet implementation of the formulation?<div style=padding-top: 35px> What formulas are required for cells D3, D6, D8, D15, D17 and D18 in the Excel spreadsheet implementation of the formulation?
Question
A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table. A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   Enter the numbers in the appropriate cells of ranges B6:G11 and B13:G13 in the Excel spreadsheet to solve this problem based on the following formulation.   ​  <div style=padding-top: 35px> Enter the numbers in the appropriate cells of ranges B6:G11 and B13:G13 in the Excel spreadsheet to solve this problem based on the following formulation. A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   Enter the numbers in the appropriate cells of ranges B6:G11 and B13:G13 in the Excel spreadsheet to solve this problem based on the following formulation.   ​  <div style=padding-top: 35px> A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   Enter the numbers in the appropriate cells of ranges B6:G11 and B13:G13 in the Excel spreadsheet to solve this problem based on the following formulation.   ​  <div style=padding-top: 35px>
Question
Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons): Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):   Formulate an LP model for this logistics problem.<div style=padding-top: 35px> Formulate an LP model for this logistics problem.
Question
Pete's Plastics manufactures plastic at plants in Miami, St. Louis and Cleveland. Pete needs to ship plastic to customers in Pittsburgh, Atlanta and Chicago. He wants to minimize the cost of shipping the plastic from his plants to his customers. The data for the problem is summarized in the following table. Pete's Plastics manufactures plastic at plants in Miami, St. Louis and Cleveland. Pete needs to ship plastic to customers in Pittsburgh, Atlanta and Chicago. He wants to minimize the cost of shipping the plastic from his plants to his customers. The data for the problem is summarized in the following table.   ​ Formulate the LP for this problem.<div style=padding-top: 35px>
Formulate the LP for this problem.
Question
A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production.
What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem?
Objective Cell:
Variables Cells:
Constraints Cells: A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production. What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem? Objective Cell: Variables Cells: Constraints Cells:   ​   ​ ​<div style=padding-top: 35px> A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production. What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem? Objective Cell: Variables Cells: Constraints Cells:   ​   ​ ​<div style=padding-top: 35px>
Question
State Farm Supply has just received an order for 10,000 pounds of chicken feed. The farmer has specified certain that the feed meet minimum requirements for Protein, Carbohydrate, Fat and Vitamins. State Farm can blend four different feeds to produce the required mix. The farmer would like to pay the lowest possible price for the feed. The data for the problem is summarized in the following table.
State Farm Supply has just received an order for 10,000 pounds of chicken feed. The farmer has specified certain that the feed meet minimum requirements for Protein, Carbohydrate, Fat and Vitamins. State Farm can blend four different feeds to produce the required mix. The farmer would like to pay the lowest possible price for the feed. The data for the problem is summarized in the following table. ​   ​ Formulate the LP for this problem.<div style=padding-top: 35px>
Formulate the LP for this problem.
Question
Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons): Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):   The following is the LP model for this logistics problem.   ​   What values would you enter in the Analytic Solver Platform (ASP) task pane for the cells in this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells:<div style=padding-top: 35px> The following is the LP model for this logistics problem. Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):   The following is the LP model for this logistics problem.   ​   What values would you enter in the Analytic Solver Platform (ASP) task pane for the cells in this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells:<div style=padding-top: 35px> Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):   The following is the LP model for this logistics problem.   ​   What values would you enter in the Analytic Solver Platform (ASP) task pane for the cells in this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells:<div style=padding-top: 35px> What values would you enter in the Analytic Solver Platform (ASP) task pane for the cells in this Excel spreadsheet implementation of this problem?
Objective Cell:
Variables Cells:
Constraints Cells:
Question
A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production.
What are the key formulas in cells G4 and E7 for this Excel spreadsheet implementation of the following formulation? A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production. What are the key formulas in cells G4 and E7 for this Excel spreadsheet implementation of the following formulation?   ​   ​ ​<div style=padding-top: 35px> A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production. What are the key formulas in cells G4 and E7 for this Excel spreadsheet implementation of the following formulation?   ​   ​ ​<div style=padding-top: 35px>
Question
A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production.
Enter the numbers in the appropriate cells of range B5:F10 in the Excel spreadsheet to solve this problem based on the following formulation. A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production. Enter the numbers in the appropriate cells of range B5:F10 in the Excel spreadsheet to solve this problem based on the following formulation.   ​  <div style=padding-top: 35px> A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production. Enter the numbers in the appropriate cells of range B5:F10 in the Excel spreadsheet to solve this problem based on the following formulation.   ​  <div style=padding-top: 35px>
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Deck 3: Modeling and Solving Lp Problems in a Spreadsheet
1
Exhibit 3.1
The following questions are based on this problem and accompanying Excel windows.
Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced. <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which of the following statements represent the carpentry, varnishing and limited demand for desks constraints?</strong> A) B4:C4 ≤ B5:C5 B) E5 ≤ 0 C) D8:D10 ≤ E8:E10 D) E8:E10 ≤ D8:D10 The LP model for the problem is <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which of the following statements represent the carpentry, varnishing and limited demand for desks constraints?</strong> A) B4:C4 ≤ B5:C5 B) E5 ≤ 0 C) D8:D10 ≤ E8:E10 D) E8:E10 ≤ D8:D10 <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which of the following statements represent the carpentry, varnishing and limited demand for desks constraints?</strong> A) B4:C4 ≤ B5:C5 B) E5 ≤ 0 C) D8:D10 ≤ E8:E10 D) E8:E10 ≤ D8:D10
Refer to Exhibit 3.1. Which of the following statements represent the carpentry, varnishing and limited demand for desks constraints?

A) B4:C4 ≤ B5:C5
B) E5 ≤ 0
C) D8:D10 ≤ E8:E10
D) E8:E10 ≤ D8:D10
D8:D10 ≤ E8:E10
2
​In modeling a problem it is usually best to start by entering all equations in a spreadsheet.
False
3
The LHS value of a constraint represents the usage of an associated resource by the decision variables.
True
4
Which type of spreadsheet cell represents the decision variables in an LP model?

A) Target or set cell
B) Variable cell
C) Constraint cell
D) Constant cell
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5
Decision variables are sometimes referred to as problem parameters. ​
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6
Solving LP problems in Excel requires only a copy and paste operation.
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7
Using Data Envelopment Analysis (DEA) for an inefficient unit, a more efficient composite unit can be found by

A) Solving its DEA problem and retrieving the weights from the answer report.
B) Solving its DEA problem and examining those units whose final value is non-zero.
C) Solving its DEA problem and using the resulting shadow prices as composite weights.
D) Solving its DEA problem and using the positive resulting shadow prices as composite weights.
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8
Exhibit 3.3
The following questions are based on this problem and accompanying Excel windows.
Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit. <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. Which of the following statements could represent a constraint in this problem?</strong> A) B4:C4 ≤ B5:C5 B) E5 ≤ 0 C) D8 = E8 D) E8:E11 ≤ D8:D11 <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. Which of the following statements could represent a constraint in this problem?</strong> A) B4:C4 ≤ B5:C5 B) E5 ≤ 0 C) D8 = E8 D) E8:E11 ≤ D8:D11
Refer to Exhibit 3.3. Which of the following statements could represent a constraint in this problem?

A) B4:C4 ≤ B5:C5
B) E5 ≤ 0
C) D8 = E8
D) E8:E11 ≤ D8:D11
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9
Exhibit 3.5
The following questions are based on this problem and accompanying Excel windows.
A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter. <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula should be entered in cell C18 in the accompanying Excel spreadsheet to compute the quarterly carrying costs?</strong> A) =C15*C3+C6 B) =C15*(C3+C6) C) =C15*C3/2 D) =C15*(C3+C6)/2 <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula should be entered in cell C18 in the accompanying Excel spreadsheet to compute the quarterly carrying costs?</strong> A) =C15*C3+C6 B) =C15*(C3+C6) C) =C15*C3/2 D) =C15*(C3+C6)/2 <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula should be entered in cell C18 in the accompanying Excel spreadsheet to compute the quarterly carrying costs?</strong> A) =C15*C3+C6 B) =C15*(C3+C6) C) =C15*C3/2 D) =C15*(C3+C6)/2
Refer to Exhibit 3.5. What formula should be entered in cell C18 in the accompanying Excel spreadsheet to compute the quarterly carrying costs?

A) =C15*C3+C6
B) =C15*(C3+C6)
C) =C15*C3/2
D) =C15*(C3+C6)/2
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10
What does the Excel "=SUMPRODUCT(A1:A5,C6;C10)" function do?

A) Sums each range and multiplies the sums.
B) Sum each pair of cells and multiples each sum.
C) Multiplies the contents of cells containing the =SUM() command.
D) Multiplies each pair of cells in two arrays matched by position and sums the products.
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11
Analytic Solver Platform (ASP) is ​functionally similar to Excel Solver but it offers many useful extensions.
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12
What action is required to make Analytic Solver Platform (ASP) solve a specified problem?

A) Type go in cell A1.
B) Click the "Optimize" button on the ASP Ribbon, or the green arrow "Solve" in the Task Pane.
C) Click the Close button in the ASP Parameters dialog box.
D) Click the Guess button in the ASP Parameters dialog box.
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13
Models which are setup in an intuitively appealing, logical layout tend to be the most

A) Reliable
B) Modifiable
C) Auditable
D) Organized
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14
Bounds on the decision variables are known as nonnegativity constraints.​
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15
Exhibit 3.5
The following questions are based on this problem and accompanying Excel windows.
A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter. <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula should be entered in cell C6 in the accompanying Excel spreadsheet to compute ending inventory?</strong> A) =C3-C4+C5 B) =C3+C4-C5 C) =C3-(C4-C5) D) =C5-C4-C3 <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula should be entered in cell C6 in the accompanying Excel spreadsheet to compute ending inventory?</strong> A) =C3-C4+C5 B) =C3+C4-C5 C) =C3-(C4-C5) D) =C5-C4-C3 <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula should be entered in cell C6 in the accompanying Excel spreadsheet to compute ending inventory?</strong> A) =C3-C4+C5 B) =C3+C4-C5 C) =C3-(C4-C5) D) =C5-C4-C3
Refer to Exhibit 3.5. What formula should be entered in cell C6 in the accompanying Excel spreadsheet to compute ending inventory?

A) =C3-C4+C5
B) =C3+C4-C5
C) =C3-(C4-C5)
D) =C5-C4-C3
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16
Exhibit 3.4
The following questions are based on this problem and accompanying Excel windows.
A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio. <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell D7 in the accompanying Excel spreadsheet to compute the total return?</strong> A) =B7*SUM(D3:D6) B) =SUMPRODUCT(B3:B6,D3:D6) C) =SUM(B3:B6) D) =SUMPRODUCT(B3:E3,B6:E6) <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell D7 in the accompanying Excel spreadsheet to compute the total return?</strong> A) =B7*SUM(D3:D6) B) =SUMPRODUCT(B3:B6,D3:D6) C) =SUM(B3:B6) D) =SUMPRODUCT(B3:E3,B6:E6) <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell D7 in the accompanying Excel spreadsheet to compute the total return?</strong> A) =B7*SUM(D3:D6) B) =SUMPRODUCT(B3:B6,D3:D6) C) =SUM(B3:B6) D) =SUMPRODUCT(B3:E3,B6:E6) <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell D7 in the accompanying Excel spreadsheet to compute the total return?</strong> A) =B7*SUM(D3:D6) B) =SUMPRODUCT(B3:B6,D3:D6) C) =SUM(B3:B6) D) =SUMPRODUCT(B3:E3,B6:E6)
Refer to Exhibit 3.4. What formula should be entered in cell D7 in the accompanying Excel spreadsheet to compute the total return?

A) =B7*SUM(D3:D6)
B) =SUMPRODUCT(B3:B6,D3:D6)
C) =SUM(B3:B6)
D) =SUMPRODUCT(B3:E3,B6:E6)
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17
A solvable problem must have: ​

A) ​a feasible region that is not an empty set.
B) ​the best solution.
C) no more than two constraints.
D) ​no more than two decision variables.
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18
The built-in Solver in Excel is found under which tab on the ribbon?

A) Tools
B) Insert
C) Data
D) Window
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19
​Excel and other spreadsheets contain an add-on called solver.
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20
Objective cell, variable cells and constraint cells are terms used in Excel solver to describe the purpose of the cells. ​
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21
A heuristic solution is

A) used by Analytic Solver Platform (ASP) when the Guess button is used.
B) guaranteed to produce an optimal solution.
C) used by Analytic Solver Platform (ASP) if Standard GRG Nonlinear method is selected.
D) a rule-of-thumb for making decisions.
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22
How many constraints are there in a transportation problem which has 5 supply points and 4 demand points? (ignore the non-negativity constraints)

A) 4
B) 5
C) 9
D) 20
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23
Exhibit 3.3
The following questions are based on this problem and accompanying Excel windows.
Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit. <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. What formula should be entered in cell D11 in the accompanying Excel spreadsheet to compute the total liters of alcohol supplied?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B11:C11,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. What formula should be entered in cell D11 in the accompanying Excel spreadsheet to compute the total liters of alcohol supplied?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B11:C11,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10)
Refer to Exhibit 3.3. What formula should be entered in cell D11 in the accompanying Excel spreadsheet to compute the total liters of alcohol supplied?

A) =B4*B5+C4*C5
B) =SUMPRODUCT(B11:C11,$B$4:$C$4)
C) =SUM(B5:C5)
D) =SUM(E8:E10)
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24
In the Analytic Solver Platform dialog box simple upper and lower bounds for decision variables are specified by

A) referring directly to the decision variable cells in the Constraints-Bound area.
B) requiring the addition of the bounds above and below the variable cells.
C) resolving the problem with the bounds added.
D) incorporating the bounds in the objective function.
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25
Spreadsheet modeling is an acquired skill because

A) there is generally only one correct way to build a model.
B) the spreadsheet is free-form providing many modeling options.
C) using Analytic Solver Platform requires lots of experience.
D) spreadsheets are not very easy to use.
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26
Exhibit 3.3
The following questions are based on this problem and accompanying Excel windows.
Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit. <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D11 D) E8:E10 <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D11 D) E8:E10
Refer to Exhibit 3.3. Which cells should be the constraint cells in this problem?

A) B4:C4
B) E5
C) D8:D11
D) E8:E10
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27
Exhibit 3.5
The following questions are based on this problem and accompanying Excel windows.
A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter. <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula could be entered in cell F20 in the accompanying Excel spreadsheet to compute the Total Cost for all four quarters?</strong> A) SUMPRODUCT($C$4:$F$4,C17:F17) B) SUM(C17:F17) + SUM(C18:F18) C) PRODUCT(SUM(C14:F15,C17:F18) D) SUMPRODUCT(C4:F4,C14:F14) + SUMPRODUCT(C6:F6,C15:F15) <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula could be entered in cell F20 in the accompanying Excel spreadsheet to compute the Total Cost for all four quarters?</strong> A) SUMPRODUCT($C$4:$F$4,C17:F17) B) SUM(C17:F17) + SUM(C18:F18) C) PRODUCT(SUM(C14:F15,C17:F18) D) SUMPRODUCT(C4:F4,C14:F14) + SUMPRODUCT(C6:F6,C15:F15) <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. What formula could be entered in cell F20 in the accompanying Excel spreadsheet to compute the Total Cost for all four quarters?</strong> A) SUMPRODUCT($C$4:$F$4,C17:F17) B) SUM(C17:F17) + SUM(C18:F18) C) PRODUCT(SUM(C14:F15,C17:F18) D) SUMPRODUCT(C4:F4,C14:F14) + SUMPRODUCT(C6:F6,C15:F15)
Refer to Exhibit 3.5. What formula could be entered in cell F20 in the accompanying Excel spreadsheet to compute the Total Cost for all four quarters?

A) SUMPRODUCT($C$4:$F$4,C17:F17)
B) SUM(C17:F17) + SUM(C18:F18)
C) PRODUCT(SUM(C14:F15,C17:F18)
D) SUMPRODUCT(C4:F4,C14:F14) + SUMPRODUCT(C6:F6,C15:F15)
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28
Numeric constants should be

A) embedded in formulas.
B) placed in individual cells
C) placed in separate workbooks.
D) entered manually every time a model is solved.
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29
The "Analyze Without Solving" tool in Analytic Solver Platform is useful for

A) verifying the equations in a spreadsheet model.
B) toggling between absolute and relative cell referencing.
C) executing the Excel spreadsheet layout Wizard.
D) naming cells and cell ranges for easier modifiability.
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30
Exhibit 3.4
The following questions are based on this problem and accompanying Excel windows.
A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio. <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. Which cells are changing cells in the accompanying Excel spreadsheet?</strong> A) B3:B6 B) B7:I7 C) C7 D) E7 <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. Which cells are changing cells in the accompanying Excel spreadsheet?</strong> A) B3:B6 B) B7:I7 C) C7 D) E7 <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. Which cells are changing cells in the accompanying Excel spreadsheet?</strong> A) B3:B6 B) B7:I7 C) C7 D) E7 <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. Which cells are changing cells in the accompanying Excel spreadsheet?</strong> A) B3:B6 B) B7:I7 C) C7 D) E7
Refer to Exhibit 3.4. Which cells are changing cells in the accompanying Excel spreadsheet?

A) B3:B6
B) B7:I7
C) C7
D) E7
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31
Exhibit 3.1
The following questions are based on this problem and accompanying Excel windows.
Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced. <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) The LP model for the problem is <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10)
Refer to Exhibit 3.1. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?

A) =B4*B5+C4*C5
B) =SUMPRODUCT(B8:C8,$B$4:$C$4)
C) =SUM(B5:C5)
D) =SUM(E8:E10)
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32
How many decision variables are there in a transportation problem which has 5 supply points and 4 demand points?

A) 4
B) 5
C) 9
D) 20
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33
Exhibit 3.4
The following questions are based on this problem and accompanying Excel windows.
A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio. <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell B7 in the accompanying Excel spreadsheet to compute total dollars invested?</strong> A) =ADD(B3:B6) B) =SUM(B3:B6) C) =TOTAL(B3:B6) D) =TALLY(B3:B6) <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell B7 in the accompanying Excel spreadsheet to compute total dollars invested?</strong> A) =ADD(B3:B6) B) =SUM(B3:B6) C) =TOTAL(B3:B6) D) =TALLY(B3:B6) <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell B7 in the accompanying Excel spreadsheet to compute total dollars invested?</strong> A) =ADD(B3:B6) B) =SUM(B3:B6) C) =TOTAL(B3:B6) D) =TALLY(B3:B6) <strong>Exhibit 3.4 The following questions are based on this problem and accompanying Excel windows. A financial planner wants to design a portfolio of investments for a client. The client has $300,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 25% of the money in any one investment, at least one third should be invested in long-term bonds which mature in seven or more years, and no more than 25% of the total money should be invested in C or D since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.         Refer to Exhibit 3.4. What formula should be entered in cell B7 in the accompanying Excel spreadsheet to compute total dollars invested?</strong> A) =ADD(B3:B6) B) =SUM(B3:B6) C) =TOTAL(B3:B6) D) =TALLY(B3:B6)
Refer to Exhibit 3.4. What formula should be entered in cell B7 in the accompanying Excel spreadsheet to compute total dollars invested?

A) =ADD(B3:B6)
B) =SUM(B3:B6)
C) =TOTAL(B3:B6)
D) =TALLY(B3:B6)
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34
Which type of spreadsheet cell represents the left hand sides (LHS) formulas in an LP model?

A) Target or set cell
B) Changing variable cell
C) Constraint cell
D) Constant cell
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35
Scaling problems

A) can cause Analytic Solver Platform to consider a linear problem as nonlinear.
B) can cause problems in accuracy of solutions returned.
C) are caused by small numbers and large numbers used in the same problem.
D) all of these.
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36
Exhibit 3.1
The following questions are based on this problem and accompanying Excel windows.
Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced. <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of carpentry used?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) The LP model for the problem is <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of carpentry used?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of carpentry used?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10)
Refer to Exhibit 3.1. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of carpentry used?

A) =B4*B5+C4*C5
B) =SUMPRODUCT(B8:C8,$B$4:$C$4)
C) =SUM(B5:C5)
D) =SUM(E8:E10)
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37
Exhibit 3.2
The following questions are based on this problem and accompanying Excel windows.
The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table. <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which of the following statements will represent the constraint for just assembly hours?</strong> A) B4:C4 ≤ B5:C5 B) D9 ≤ E9 C) D8:D10 ≤ E8:E10 D) E8:E10 ≤ D8:D10 <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which of the following statements will represent the constraint for just assembly hours?</strong> A) B4:C4 ≤ B5:C5 B) D9 ≤ E9 C) D8:D10 ≤ E8:E10 D) E8:E10 ≤ D8:D10 <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which of the following statements will represent the constraint for just assembly hours?</strong> A) B4:C4 ≤ B5:C5 B) D9 ≤ E9 C) D8:D10 ≤ E8:E10 D) E8:E10 ≤ D8:D10
Refer to Exhibit 3.2. Which of the following statements will represent the constraint for just assembly hours?

A) B4:C4 ≤ B5:C5
B) D9 ≤ E9
C) D8:D10 ≤ E8:E10
D) E8:E10 ≤ D8:D10
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38
What is the significance of an absolute cell reference in Excel?

A) The cell reference will not change if the formula containing the reference is copied to another location
B) The cell will always contain the absolute value of any number entered into it
C) The cell reference changes if the formula containing the reference is copied to another location
D) It is the only formula used to refer to a cell on another spreadsheet
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39
Exhibit 3.2
The following questions are based on this problem and accompanying Excel windows.
The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table. <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?</strong> A) =B4*C4+B5*C5 B) =SUMPRODUCT(B4:C4,B5:C5) C) =SUM(B5:C5) D) =SUM(E8:E10) <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?</strong> A) =B4*C4+B5*C5 B) =SUMPRODUCT(B4:C4,B5:C5) C) =SUM(B5:C5) D) =SUM(E8:E10) <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?</strong> A) =B4*C4+B5*C5 B) =SUMPRODUCT(B4:C4,B5:C5) C) =SUM(B5:C5) D) =SUM(E8:E10)
Refer to Exhibit 3.2. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?

A) =B4*C4+B5*C5
B) =SUMPRODUCT(B4:C4,B5:C5)
C) =SUM(B5:C5)
D) =SUM(E8:E10)
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40
Exhibit 3.2
The following questions are based on this problem and accompanying Excel windows.
The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table. <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10
Refer to Exhibit 3.2. Which cells should be changing cells in this problem?

A) B4:C4
B) E5
C) D8:D10
D) E8:E10
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41
Which tab in the Analytic Solver Platform task pane is used to define an optimization problem?

A) Guess
B) Model
C) Change
D) Delete
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42
Which of the following describes Data Envelopment Analysis (DEA).

A) DEA finds the most effective company among some set of companies.
B) DEA determines if a company is converting inputs to outputs as effectively as possible.
C) DEA determines how effective a company converts inputs to outputs compared to other companies.
D) DEA compares how effective a company converts inputs to outputs compared to a benchmark composite of all companies.
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43
Exhibit 3.3
The following questions are based on this problem and accompanying Excel windows.
Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit. <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total cost?</strong> A) =B4*C4+B5*C5 B) =SUMPRODUCT(B4:C4,B5:C5) C) =SUM(B5:C5) D) =SUM(E8:E10) <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total cost?</strong> A) =B4*C4+B5*C5 B) =SUMPRODUCT(B4:C4,B5:C5) C) =SUM(B5:C5) D) =SUM(E8:E10)
Refer to Exhibit 3.3. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total cost?

A) =B4*C4+B5*C5
B) =SUMPRODUCT(B4:C4,B5:C5)
C) =SUM(B5:C5)
D) =SUM(E8:E10)
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44
You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following?
Objective Cell:
Variables Cells:
Constraints Cells: You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following? Objective Cell: Variables Cells: Constraints Cells:   ​  You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following? Objective Cell: Variables Cells: Constraints Cells:   ​
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45
Which type of spreadsheet cell represents the objective function in an LP model?

A) Objective cell
B) Changing variable cell
C) Constraint cell
D) Constant cell
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46
Which function is equivalent to =SUMPRODUCT(A1:A3,B1:B3)?

A) =SUM(PRODUCT((A1:A3,B1:B3))
B) =PRODUCT(SUM((A1:A3,B1:B3))
C) =PRODUCT(A1+B1,A2+B2,A3+B3))
D) =A1*B1+A2*B2+A3*B3
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47
The "Objective Value of" option in the Analytic Solver Platform task pane may be used to

A) find a solution at a maximum value.
B) find a solution at a minimum value.
C) find a solution for a specific objective function value.
D) returns the best feasible solution.
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48
What function is used to add the contents of cells A1, A2 and A3?

A) =A1+A2+A3
B) =ADD(A1:A3)
C) =TOTAL(A1:A3)
D) =PRODUCT(A1:A3)
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49
Exhibit 3.1
The following questions are based on this problem and accompanying Excel windows.
Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced. <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 The LP model for the problem is <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10
Refer to Exhibit 3.1. Which cells should be changing cells in this problem?

A) B4:C4
B) E5
C) D8:D10
D) E8:E10
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50
A financial planner wants to design a portfolio of investments for a client. The client has $400,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 30% of the money in any one investment, at least one half should be invested in long-term bonds which mature in six or more years, and no more than 40% of the total money should be invested in B or C since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio. A financial planner wants to design a portfolio of investments for a client. The client has $400,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 30% of the money in any one investment, at least one half should be invested in long-term bonds which mature in six or more years, and no more than 40% of the total money should be invested in B or C since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.   ​   ​   ​   What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells:A financial planner wants to design a portfolio of investments for a client. The client has $400,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 30% of the money in any one investment, at least one half should be invested in long-term bonds which mature in six or more years, and no more than 40% of the total money should be invested in B or C since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.   ​   ​   ​   What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells:A financial planner wants to design a portfolio of investments for a client. The client has $400,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 30% of the money in any one investment, at least one half should be invested in long-term bonds which mature in six or more years, and no more than 40% of the total money should be invested in B or C since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.   ​   ​   ​   What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells:A financial planner wants to design a portfolio of investments for a client. The client has $400,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 30% of the money in any one investment, at least one half should be invested in long-term bonds which mature in six or more years, and no more than 40% of the total money should be invested in B or C since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.   ​   ​   ​   What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells: What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of this problem?
Objective Cell:
Variables Cells:
Constraints Cells:
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51
You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following?
Objective Cell:
Variables Cells:
Constraints Cells: You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following? Objective Cell: Variables Cells: Constraints Cells:   ​   ​ ​You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following? Objective Cell: Variables Cells: Constraints Cells:   ​   ​ ​
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52
Exhibit 3.2
The following questions are based on this problem and accompanying Excel windows.
The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table. <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D12 D) E8:E12 <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D12 D) E8:E12 <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D12 D) E8:E12
Refer to Exhibit 3.2. Which cells should be the constraint cells in this problem?

A) B4:C4
B) E5
C) D8:D12
D) E8:E12
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53
Exhibit 3.2
The following questions are based on this problem and accompanying Excel windows.
The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table. <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of wiring used?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of wiring used?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10) <strong>Exhibit 3.2 The following questions are based on this problem and accompanying Excel windows. The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.       Refer to Exhibit 3.2. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of wiring used?</strong> A) =B4*B5+C4*C5 B) =SUMPRODUCT(B8:C8,$B$4:$C$4) C) =SUM(B5:C5) D) =SUM(E8:E10)
Refer to Exhibit 3.2. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of wiring used?

A) =B4*B5+C4*C5
B) =SUMPRODUCT(B8:C8,$B$4:$C$4)
C) =SUM(B5:C5)
D) =SUM(E8:E10)
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54
Exhibit 3.1
The following questions are based on this problem and accompanying Excel windows.
Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced. <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 The LP model for the problem is <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <strong>Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.   The LP model for the problem is     Refer to Exhibit 3.1. Which cells should be the constraint cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10
Refer to Exhibit 3.1. Which cells should be the constraint cells in this problem?

A) B4:C4
B) E5
C) D8:D10
D) E8:E10
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55
Exhibit 3.3
The following questions are based on this problem and accompanying Excel windows.
Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit. <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10 <strong>Exhibit 3.3 The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit.     Refer to Exhibit 3.3. Which cells should be changing cells in this problem?</strong> A) B4:C4 B) E5 C) D8:D10 D) E8:E10
Refer to Exhibit 3.3. Which cells should be changing cells in this problem?

A) B4:C4
B) E5
C) D8:D10
D) E8:E10
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56
The constraints X1 ≥ 0 and X2 ≥ 0 are referred to as

A) positivity constraints.
B) optimality conditions.
C) left hand sides.
D) nonnegativity conditions.
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57
Exhibit 3.5
The following questions are based on this problem and accompanying Excel windows.
A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter. <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. Which cells are changing cells in the accompanying Excel spreadsheet?</strong> A) C4:F4 B) C9:F9 C) F20 D) C12:F12 <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. Which cells are changing cells in the accompanying Excel spreadsheet?</strong> A) C4:F4 B) C9:F9 C) F20 D) C12:F12 <strong>Exhibit 3.5 The following questions are based on this problem and accompanying Excel windows. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost is stable but demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 12,000 units and management wants to keep at least 3,000 units on hand. Quarterly inventory holding cost is 3% of the cost of production. The company estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month. There are currently 5,000 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.       Refer to Exhibit 3.5. Which cells are changing cells in the accompanying Excel spreadsheet?</strong> A) C4:F4 B) C9:F9 C) F20 D) C12:F12
Refer to Exhibit 3.5. Which cells are changing cells in the accompanying Excel spreadsheet?

A) C4:F4
B) C9:F9
C) F20
D) C12:F12
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58
The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months. The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months.   Enter the numbers in the appropriate cells of ranges B4:H6 in the Excel spreadsheet to solve this problem based on the following formulation.   ​   ​   ​ Enter the numbers in the appropriate cells of ranges B4:H6 in the Excel spreadsheet to solve this problem based on the following formulation. The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months.   Enter the numbers in the appropriate cells of ranges B4:H6 in the Excel spreadsheet to solve this problem based on the following formulation.   ​   ​   ​The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months.   Enter the numbers in the appropriate cells of ranges B4:H6 in the Excel spreadsheet to solve this problem based on the following formulation.   ​   ​   ​The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months.   Enter the numbers in the appropriate cells of ranges B4:H6 in the Excel spreadsheet to solve this problem based on the following formulation.   ​   ​   ​
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59
Data Envelopment Analysis (DEA) is an LP-based methodology in which weighted sums of inputs and outputs are calculated and

A) the constraints capture the maximum effectiveness of each unit.
B) the objective is to maximize every units output.
C) the constraints ensure the sum of the weighted outputs is one.
D) the objective for each unit is to maximize the weighted sum of its outputs.
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60
Microsoft Excel contains a built-in optimizer called

A) what-if engines.
B) calculators.
C) solvers.
D) risk analyzers.
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61
You have been given the following linear programming model and Excel spreadsheet to solve this problem. What formulas should be entered into cells E5 and D8:D10 to implement this model? You have been given the following linear programming model and Excel spreadsheet to solve this problem. What formulas should be entered into cells E5 and D8:D10 to implement this model?   ​   ​You have been given the following linear programming model and Excel spreadsheet to solve this problem. What formulas should be entered into cells E5 and D8:D10 to implement this model?   ​   ​
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62
You have been given the following linear programming model and Excel spreadsheet to solve this problem. What formulas should be entered into cells E5 and D8:D10 to implement this model? You have been given the following linear programming model and Excel spreadsheet to solve this problem. What formulas should be entered into cells E5 and D8:D10 to implement this model?   ​   ​ ​You have been given the following linear programming model and Excel spreadsheet to solve this problem. What formulas should be entered into cells E5 and D8:D10 to implement this model?   ​   ​ ​
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63
A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table. A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem? Objective Cell: Variables Cells: Constraints Cells:   ​  What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem?
Objective Cell:
Variables Cells:
Constraints Cells: A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem? Objective Cell: Variables Cells: Constraints Cells:   ​  A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem? Objective Cell: Variables Cells: Constraints Cells:   ​
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64
A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. The following table summarizes the data for the problem. A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. The following table summarizes the data for the problem.   What are the key formulas in cells F5 and E8 for this Excel spreadsheet implementation of the following formulation?   ​  What are the key formulas in cells F5 and E8 for this Excel spreadsheet implementation of the following formulation? A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. The following table summarizes the data for the problem.   What are the key formulas in cells F5 and E8 for this Excel spreadsheet implementation of the following formulation?   ​  A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. The following table summarizes the data for the problem.   What are the key formulas in cells F5 and E8 for this Excel spreadsheet implementation of the following formulation?   ​
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65
The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months. The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months.   Based on the following formulation, is City East efficient? If not, what input and output values should they aspire to in order to become efficient?   ​ Based on the following formulation, is City East efficient? If not, what input and output values should they aspire to in order to become efficient? The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months.   Based on the following formulation, is City East efficient? If not, what input and output values should they aspire to in order to become efficient?   ​
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66
A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table. A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   What are the key formulas in cells I12 and B12 for this Excel spreadsheet implementation of the following formulation?   ​  What are the key formulas in cells I12 and B12 for this Excel spreadsheet implementation of the following formulation? A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   What are the key formulas in cells I12 and B12 for this Excel spreadsheet implementation of the following formulation?   ​  A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   What are the key formulas in cells I12 and B12 for this Excel spreadsheet implementation of the following formulation?   ​
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67
A paper mill has received an order for rolls of paper. The customer wants 400 12" wide rolls, 300 18" rolls and 200 24" rolls. The company has 40" wide rolls of paper which it can slit to the appropriate width. The company wants to minimize the number of rolls it must use to fill the order.

Formulate the LP for this problem.
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68
A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. There are only 50 acre ft of irrigation available and only 8,000 pounds/acre of fertilizer available. The following table summarizes the data for the problem. A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. There are only 50 acre ft of irrigation available and only 8,000 pounds/acre of fertilizer available. The following table summarizes the data for the problem.   Enter the numbers in the appropriate cells of ranges B12:D12 and E8:F12 in the Excel spreadsheet to solve this problem based on the following formulation.   ​  Enter the numbers in the appropriate cells of ranges B12:D12 and E8:F12 in the Excel spreadsheet to solve this problem based on the following formulation. A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. There are only 50 acre ft of irrigation available and only 8,000 pounds/acre of fertilizer available. The following table summarizes the data for the problem.   Enter the numbers in the appropriate cells of ranges B12:D12 and E8:F12 in the Excel spreadsheet to solve this problem based on the following formulation.   ​  A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. There are only 50 acre ft of irrigation available and only 8,000 pounds/acre of fertilizer available. The following table summarizes the data for the problem.   Enter the numbers in the appropriate cells of ranges B12:D12 and E8:F12 in the Excel spreadsheet to solve this problem based on the following formulation.   ​
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69
Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons): Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):   The following is the LP model for this logistics problem.   ​   What formula goes in cells F10, E3, E4, E5, and B6 of this Excel spreadsheet? The following is the LP model for this logistics problem. Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):   The following is the LP model for this logistics problem.   ​   What formula goes in cells F10, E3, E4, E5, and B6 of this Excel spreadsheet?Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):   The following is the LP model for this logistics problem.   ​   What formula goes in cells F10, E3, E4, E5, and B6 of this Excel spreadsheet? What formula goes in cells F10, E3, E4, E5, and B6 of this Excel spreadsheet?
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70
You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following?
Objective Cell:
Variables Cells:
Constraints Cells: You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following? Objective Cell: Variables Cells: Constraints Cells:   ​  You have been given the following linear programming model and Excel spreadsheet to solve this problem. What cell references would you enter in the Analytic Solver Platform (ASP) task pane for the following? Objective Cell: Variables Cells: Constraints Cells:   ​
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71
Robert Hope received a welcome surprise in this management science class; the instructor has decided to let each person define the percentage contribution to their grade for each of the graded instruments used in the class. These instruments were: homework, an individual project, a mid-term exam, and a final exam. Robert's grades on these instruments were 75, 94, 85, and 92, respectively. However, the instructor complicated Robert's task somewhat by adding the following stipulations: Robert Hope received a welcome surprise in this management science class; the instructor has decided to let each person define the percentage contribution to their grade for each of the graded instruments used in the class. These instruments were: homework, an individual project, a mid-term exam, and a final exam. Robert's grades on these instruments were 75, 94, 85, and 92, respectively. However, the instructor complicated Robert's task somewhat by adding the following stipulations:   Formulate an LP model for Robert to maximize his numerical grade. Formulate an LP model for Robert to maximize his numerical grade.
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72
A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost, demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 100 units and management wants to keep at least 50 units on hand. Quarterly inventory holding cost is 4% of the cost of production. There are currently 50 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter. A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost, demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 100 units and management wants to keep at least 50 units on hand. Quarterly inventory holding cost is 4% of the cost of production. There are currently 50 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.   ​   ​   What formulas are required for cells D3, D6, D8, D15, D17 and D18 in the Excel spreadsheet implementation of the formulation?A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost, demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 100 units and management wants to keep at least 50 units on hand. Quarterly inventory holding cost is 4% of the cost of production. There are currently 50 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.   ​   ​   What formulas are required for cells D3, D6, D8, D15, D17 and D18 in the Excel spreadsheet implementation of the formulation?A company is planning production for the next 4 quarters. They want to minimize the cost of production. The production cost, demand and production capacity vary from quarter to quarter. The maximum amount of inventory which can be held is 100 units and management wants to keep at least 50 units on hand. Quarterly inventory holding cost is 4% of the cost of production. There are currently 50 units in inventory. The company wants to produce at no less than one half of its maximum capacity in any quarter.   ​   ​   What formulas are required for cells D3, D6, D8, D15, D17 and D18 in the Excel spreadsheet implementation of the formulation? What formulas are required for cells D3, D6, D8, D15, D17 and D18 in the Excel spreadsheet implementation of the formulation?
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73
A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table. A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   Enter the numbers in the appropriate cells of ranges B6:G11 and B13:G13 in the Excel spreadsheet to solve this problem based on the following formulation.   ​  Enter the numbers in the appropriate cells of ranges B6:G11 and B13:G13 in the Excel spreadsheet to solve this problem based on the following formulation. A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   Enter the numbers in the appropriate cells of ranges B6:G11 and B13:G13 in the Excel spreadsheet to solve this problem based on the following formulation.   ​  A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.   Enter the numbers in the appropriate cells of ranges B6:G11 and B13:G13 in the Excel spreadsheet to solve this problem based on the following formulation.   ​
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74
Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons): Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):   Formulate an LP model for this logistics problem. Formulate an LP model for this logistics problem.
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75
Pete's Plastics manufactures plastic at plants in Miami, St. Louis and Cleveland. Pete needs to ship plastic to customers in Pittsburgh, Atlanta and Chicago. He wants to minimize the cost of shipping the plastic from his plants to his customers. The data for the problem is summarized in the following table. Pete's Plastics manufactures plastic at plants in Miami, St. Louis and Cleveland. Pete needs to ship plastic to customers in Pittsburgh, Atlanta and Chicago. He wants to minimize the cost of shipping the plastic from his plants to his customers. The data for the problem is summarized in the following table.   ​ Formulate the LP for this problem.
Formulate the LP for this problem.
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76
A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production.
What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem?
Objective Cell:
Variables Cells:
Constraints Cells: A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production. What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem? Objective Cell: Variables Cells: Constraints Cells:   ​   ​ ​A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production. What values would you enter in the Analytic Solver Platform (ASP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem? Objective Cell: Variables Cells: Constraints Cells:   ​   ​ ​
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77
State Farm Supply has just received an order for 10,000 pounds of chicken feed. The farmer has specified certain that the feed meet minimum requirements for Protein, Carbohydrate, Fat and Vitamins. State Farm can blend four different feeds to produce the required mix. The farmer would like to pay the lowest possible price for the feed. The data for the problem is summarized in the following table.
State Farm Supply has just received an order for 10,000 pounds of chicken feed. The farmer has specified certain that the feed meet minimum requirements for Protein, Carbohydrate, Fat and Vitamins. State Farm can blend four different feeds to produce the required mix. The farmer would like to pay the lowest possible price for the feed. The data for the problem is summarized in the following table. ​   ​ Formulate the LP for this problem.
Formulate the LP for this problem.
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78
Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons): Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):   The following is the LP model for this logistics problem.   ​   What values would you enter in the Analytic Solver Platform (ASP) task pane for the cells in this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells: The following is the LP model for this logistics problem. Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):   The following is the LP model for this logistics problem.   ​   What values would you enter in the Analytic Solver Platform (ASP) task pane for the cells in this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells:Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):   The following is the LP model for this logistics problem.   ​   What values would you enter in the Analytic Solver Platform (ASP) task pane for the cells in this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells: What values would you enter in the Analytic Solver Platform (ASP) task pane for the cells in this Excel spreadsheet implementation of this problem?
Objective Cell:
Variables Cells:
Constraints Cells:
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79
A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production.
What are the key formulas in cells G4 and E7 for this Excel spreadsheet implementation of the following formulation? A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production. What are the key formulas in cells G4 and E7 for this Excel spreadsheet implementation of the following formulation?   ​   ​ ​A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production. What are the key formulas in cells G4 and E7 for this Excel spreadsheet implementation of the following formulation?   ​   ​ ​
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80
A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production.
Enter the numbers in the appropriate cells of range B5:F10 in the Excel spreadsheet to solve this problem based on the following formulation. A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production. Enter the numbers in the appropriate cells of range B5:F10 in the Excel spreadsheet to solve this problem based on the following formulation.   ​  A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production. Enter the numbers in the appropriate cells of range B5:F10 in the Excel spreadsheet to solve this problem based on the following formulation.   ​
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