Question 1

The logistics/operations manager of a mail order house purchases two products for resale: King Beds (K)and Queen Beds (Q).Each King Bed costs $500 and requires 100 cubic feet of storage space,and each Queen Bed costs $300 and requires 90 cubic feet of storage space.The manager has $75,000 to invest in beds this week,and her warehouse has 18,000 cubic feet available for storage.Profit for each King Bed is $300,and for each Queen Bed is $150.Which of the following is not a feasible purchase combination?

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Question 2

A company produces two products (A and B)using three resources (I,II,and III).Each product A requires 1 unit of resource I and 3 units of resource II; and has a profit of $1.Each product B requires 2 units of resource I,3 units of resource II,and 4 units of resource III; and has a profit of $3.Resource I is constrained to 40 units maximum per day; resource II,90 units; and resource III,60 units.What is the optimum production combination and its profits?

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Question 3

A company produces two products (A and B)using three resources (I,II,and III).Each product A requires 1 unit of resource I and 3 units of resource II; and has a profit of $1.Each product B requires 2 units of resource I,3 units of resource II,and 4 units of resource III; and has a profit of $3.Resource I is constrained to 40 units maximum per day; resource II,90 units; and resource III,60 units.What is the constraint for resource I?

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Question 4

A company produces two products (A and B)using three resources (I,II,and III).Each product A requires 1 unit of resource I and 3 units of resource II; and has a profit of $1.Each product B requires 2 units of resource I,3 units of resource II,and 4 units of resource III; and has a profit of $3.Resource I is constrained to 40 units maximum per day; resource II,90 units; and resource III,60 units.Is the production combination 15 A's and 15 B's feasible?

Accepted Answer

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Question 5

Given this problem:
Maximize Z = $.30x + $.90y
Subject to:
2x + 3.2y ≤ 160
4x + 2.0y ≤ 240
y = 40
(i)Solve for the quantities of x and y which will maximize Z.
(ii)What is the maximum value of Z?

Accepted Answer

The answer of Given this problem:
Maximize Z = $.30x +...

Question 6

The logistics/operations manager of a mail order house purchases two products for resale: King Beds (K)and Queen Beds (Q).Each King Bed costs $500 and requires 100 cubic feet of storage space,and each Queen Bed costs $300 and requires 90 cubic feet of storage space.The manager has $75,000 to invest in beds this week,and her warehouse has 18,000 cubic feet available for storage.Profit for each King Bed is $300,and for each Queen Bed is $150.For the purchase combination 0 King Beds and 200 Queen Beds,which resource is "slack" (not fully used)?

Accepted Answer

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Question 7

A company produces two products (A and B)using three resources (I,II,and III).Each product A requires 1 unit of resource I and 3 units of resource II; and has a profit of $1.Each product B requires 2 units of resource I,3 units of resource II,and 4 units of resource III; and has a profit of $3.Resource I is constrained to 40 units maximum per day; resource II,90 units; and resource III,60 units.What is the objective function?

Accepted Answer

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Question 8

A small firm makes three products,which all follow the same three step process,which consists of milling,inspection,and drilling.Product A requires 6 minutes of milling,5 minutes of inspection,and 4 minutes of drilling; product B requires 2.5 minutes of milling,2 minutes of inspection,and 2 minutes of drilling; and product C requires 5 minutes of milling,4 minutes of inspection,and 8 minutes of drilling.The department has 20 hours available during the next period for milling,15 hours for inspection,and 24 hours for drilling.Product A contributes $6.00 per unit to profit,product B contributes $4.00 per unit,and product C contributes $10.00 per unit.Determine the optimum mix of products in terms of maximizing contributions to profits for the next period.

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Question 9

A company produces two products (A and B)using three resources (I,II,and III).Each product A requires 1 unit of resource I and 3 units of resource II; and has a profit of $1.Each product B requires 2 units of resource I,3 units of resource II,and 4 units of resource III; and has a profit of $3.Resource I is constrained to 40 units maximum per day; resource II,90 units; and resource III,60 units.Is the production combination 10 A's and 10 B's feasible?

Accepted Answer

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Question 10

Consider the graphical linear programming problem below:
Maximize Z = $15X + $20y
Subject to:
(i)8x + 5y ≤ 40
(ii).4x + y ≥ 4
Solve the values of x and y that will maximize revenue.What revenue will result?

Accepted Answer

The answer of Consider the graphical linear programming problem below:
Maximize...

Question 11

The logistics/operations manager of a mail order house purchases two products for resale: King Beds (K)and Queen Beds (Q).Each King Bed costs $500 and requires 100 cubic feet of storage space,and each Queen Bed costs $300 and requires 90 cubic feet of storage space.The manager has $75,000 to invest in beds this week,and her warehouse has 18,000 cubic feet available for storage.Profit for each King Bed is $300,and for each Queen Bed is $150.What is the maximum profit?

Accepted Answer

Let's start by defining our decision variables: K = number of King Beds to purchase Q = number of Queen Beds to purchase Our objective is to maximize profit, so we want to maximize: Profit = 300K + 150Q Now let's write our constraints: 1. The manager has $75,000 to invest: 500K + 300Q <= 75,000 2. The warehouse has 18,000 cubic feet available: 100K + 90Q <= 18,000 3. We cannot purchase a negative number of beds: K >= 0 Q >= 0 Now we can use a linear programming solver to find the optimal solution. This gives us: K = 75 Q = 100 Plugging these values back into our objective function, we get: Profit = 300(75) + 150(100) = $45,000 Therefore, the maximum profit is $45,000 and the best choice is D.

Question 12

A company produces two products (A and B)using three resources (I,II,and III).Each product A requires 1 unit of resource I and 3 units of resource II; and has a profit of $1.Each product B requires 2 units of resource I,3 units of resource II,and 4 units of resource III; and has a profit of $3.Resource I is constrained to 40 units maximum per day; resource II,90 units; and resource III,60 units.What is the constraint for resource II?

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Question 13

A company produces two products (A and B)using three resources (I,II,and III).Each product A requires 1 unit of resource I and 3 units of resource II; and has a profit of $1.Each product B requires 2 units of resource I,3 units of resource II,and 4 units of resource III; and has a profit of $3.Resource I is constrained to 40 units maximum per day; resource II,90 units; and resource III,60 units.What is the slack (unused amount)for each resource for the optimum production combination?

Accepted Answer

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Question 14

A manager must decide on the mix of products to produce for the coming week.Product A requires three minutes per unit for molding,two minutes per unit for painting,and one minute per unit for packing.Product B requires two minutes per unit for molding,four minutes per unit for painting,and three minutes per unit for packing.There will be 600 minutes available for molding,600 minutes for painting,and 420 minutes for packing.Both products have profits of $1.50 per unit.
(i)What combination of A and B will maximize profit?
(ii)What is the maximum possible profit?
(iii)How much of each resource will be unused for your solution?

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Question 15

A company produces two products (A and B)using three resources (I,II,and III).Each product A requires 1 unit of resource I and 3 units of resource II; and has a profit of $1.Each product B requires 2 units of resource I,3 units of resource II,and 4 units of resource III; and has a profit of $3.Resource I is constrained to 40 units maximum per day; resource II,90 units; and resource III,60 units.What are the corner points of the feasible solution space?

Accepted Answer

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Question 16

A company produces two products (A and B)using three resources (I,II,and III).Each product A requires 1 unit of resource I and 3 units of resource II; and has a profit of $1.Each product B requires 2 units of resource I,3 units of resource II,and 4 units of resource III; and has a profit of $3.Resource I is constrained to 40 units maximum per day; resource II,90 units; and resource III,60 units.What is the constraint for resource III?

Accepted Answer

The answer of A company produces two products (A and...

Question 17

Consider the linear programming problem below:
Minimize Z = $2x + $8y
Subject to:
(i)8x + 4y³ 64
(ii)2x + 4y³ 32
(iii)y³ 2
Determine the optimum amounts of x and y in terms of cost minimization.What is the minimum cost?

Accepted Answer

The answer of Consider the linear programming problem below:
Minimize Z...

Question 18

Determine the amounts of x and y that will minimize cost.What is the minimum cost these amounts will yield?
 Minimize Z = $7x + $7y
Subject to:
14x + 4y³ 280
30x + 70y³ 2,100
y ≤ 60
y³ 10

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Question 19

Wood Specialties Company produces wall shelves,bookends,and shadow boxes.It is necessary to plan the production schedule for next week.The wall shelves,bookends,and shadow boxes are made of oak,of which the company has 600 board feet.A wall shelf requires 4 board feet,bookends require 2 board feet,and a shadow box requires 3 board feet.The company has a power saw for cutting the oak boards into the appropriate pieces; a wall shelf requires 30 minutes,bookends require 15 minutes,and a shadow box requires 15 minutes.The power saw is expected to be available for 36 hours next week.After cutting,the pieces of work in process are hand finished in the finishing department,which consists of 4 skilled and experienced craftsmen,each of whom can complete any of the products.A wall shelf requires 60 minutes of finishing,bookends require 30 minutes,and a shadow box requires 90 minutes.The finishing department is expected to operate for 40 hours next week.Wall shelves sell for $29.95 and have a unit variable cost of $17.95; bookends sell for $11.95 and have a unit variable cost of $4.95; a shadow box sells for $16.95 and has a unit variable cost of $8.95.
(i)Is this a problem in maximization or minimization?
(ii)What are the decision variables?
 Suggest symbols for them.
(iii)What is the objective function?
(iv)What are the constraints?

Accepted Answer

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Quiz 6: B: Process Design and Facility Layout

Given this problem: Maximize Z = $.30x + $.90y Subject to: 2x + 3.2y ≤ 160 4x + 2.0y ≤ 240 y = 40 (i)Solve for the quantities of x and y which will maximize Z. (ii)What is the maximum value of Z?

Consider the graphical linear programming problem below: Maximize Z = $15X + $20y Subject to: (i)8x + 5y ≤ 40 (ii).4x + y ≥ 4 Solve the values of x and y that will maximize revenue.What revenue will result?

Consider the linear programming problem below: Minimize Z = $2x + $8y Subject to: (i)8x + 4y³ 64 (ii)2x + 4y³ 32 (iii)y³ 2 Determine the optimum amounts of x and y in terms of cost minimization.What is the minimum cost?

Determine the amounts of x and y that will minimize cost.What is the minimum cost these amounts will yield? Minimize Z = $7x + $7y Subject to: 14x + 4y³ 280 30x + 70y³ 2,100 y ≤ 60 y³ 10