Question 1

Table D.3
Lisa lives out in the country with her seven cats and avoids driving into the big city as much as possible.She has decided to make her own cat food and has the following nutritional guidelines.Each four ounce portion must contain 22 units of protein,15 units of vitamin A,and 8 units of vitamin B.She has eggs,tomatoes,and chicken meat as possible inputs to her cat food.Each ounce of eggs contains 6 units of protein,4 units of Vitamin A,and 3 units of Vitamin B.Each ounce of tomatoes contains 1 unit of protein,8 units of Vitamin A,and 14 units of Vitamin B.Each ounce of chicken contains 22 units of protein,14 units of Vitamin A,and 8 units of Vitamin B.Chicken costs 40 cents per ounce,tomatoes cost 5 cents per ounce,and eggs cost 12 cents per ounce.
-Referring to Table D.3,an optimal four ounce serving contains 3.6 ounces of eggs and .4 ounces of tomatoes.Which of the following statements is best?
A)The serving contains more protein than is necessary.
B)The serving contains less Vitamin B than is necessary.
C)The serving contains more Vitamin A than is necessary.
D)The serving contains less chicken than is necessary.

Accepted Answer

The answer of Table D.3
Lisa lives out in the country...

Question 2

Table D.3
Lisa lives out in the country with her seven cats and avoids driving into the big city as much as possible.She has decided to make her own cat food and has the following nutritional guidelines.Each four ounce portion must contain 22 units of protein,15 units of vitamin A,and 8 units of vitamin B.She has eggs,tomatoes,and chicken meat as possible inputs to her cat food.Each ounce of eggs contains 6 units of protein,4 units of Vitamin A,and 3 units of Vitamin B.Each ounce of tomatoes contains 1 unit of protein,8 units of Vitamin A,and 14 units of Vitamin B.Each ounce of chicken contains 22 units of protein,14 units of Vitamin A,and 8 units of Vitamin B.Chicken costs 40 cents per ounce,tomatoes cost 5 cents per ounce,and eggs cost 12 cents per ounce.
-Referring to Table D.3,what is an appropriate constraint for this scenario?
A)4*Eggs + 8*Tomatoes + 14*Chicken ≤ 15
B)4*Eggs + 8*Tomatoes + 14*Chicken ≥ 15
C)4*Eggs + 8*Tomatoes + 14*Chicken = 15
D)15*VitaminA = Eggs + Tomatoes +Chicken

Accepted Answer

The constraint should ensure that each four ounce portion contains at least 22 units of protein, 15 units of vitamin A, and 8 units of vitamin B. To determine the amount of each input needed, we can set up the following equations:
6E + T + 22C >= 22 (protein)
4E + 8T + 14C >= 15 (vitamin A)
3E + 14T + 8C >= 8 (vitamin B)
Multiplying each equation by 4 (to account for the four ounce portion size) and adding them together, we get:
24E + 32T + 88C >= 88 (protein)
16E + 32T + 56C >= 60 (vitamin A)
12E + 56T + 32C >= 32 (vitamin B)
Simplifying, we get:
4E + 8T + 14C >= 15
Therefore, the appropriate constraint is 4*Eggs + 8*Tomatoes + 14*Chicken ≥ 15.

Question 3

Table D.5
The Harper Company is in the process of production planning for the next four quarters.The company follows a policy of a stable workforce and uses overtime and subcontracting to meet uneven forecasted demand.Anticipation inventory is also allowed,but not backorders.Undertime is paid,at a rate of $5.00 per unit.The beginning (or current)inventory is 25 units.Details are shown in the following POM for Windows table.  
-Use the information in Table D.5.What is the anticipation inventory at the end of the first quarter?
A)0 units
B)1 through 5 units
C)6 through 10 units
D)11 units and above

Accepted Answer

To find the anticipation inventory at the end of the first quarter, we need to first calculate the production quantity for each quarter using the following formula:
Production quantity = Forecasted demand + Anticipation inventory - Beginning inventory
For the first quarter, the forecasted demand is 100 units, the anticipation inventory is 25 units (as given in the question), and the beginning inventory is 25 units. Therefore, the production quantity for the first quarter is:
Production quantity = 100 + 25 - 25 = 100 units
Since the production quantity is equal to the forecasted demand, there will be no anticipation inventory at the end of the first quarter. Hence, the answer is option B, 1 through 5 units.

Question 4

Table D.4
Bahouth Enterprises produces a variety of hookahs for clients around the globe.Their small plant has a highly flexible workforce that can switch between products seamlessly.They forecast using a six-month planning period and have a demand forecast as shown in the table.The per-unit costs for each output option the sales and operations planner has at his disposal are indicated in the table.Regular output costs $40 per unit,overtime production is $60 per unit,and subcontracting is $70 per unit.Holding inventory from one month to the next costs $2 per unit per month and a backlog costs $5 per unit per month.Regular plant capacity is 300 units per month.
 
-Use the information in Table D.4.If the planner decides to adopt a chase plan for the planning period,what will the regular output be for month 1?
A)300 units
B)350 units
C)400 units
D)450 units

Accepted Answer

A chase plan involves adjusting production to match demand exactly. If the demand for month 1 is 300 units, then the regular output will also be 300 units.

Question 5

Table D.4
Bahouth Enterprises produces a variety of hookahs for clients around the globe.Their small plant has a highly flexible workforce that can switch between products seamlessly.They forecast using a six-month planning period and have a demand forecast as shown in the table.The per-unit costs for each output option the sales and operations planner has at his disposal are indicated in the table.Regular output costs $40 per unit,overtime production is $60 per unit,and subcontracting is $70 per unit.Holding inventory from one month to the next costs $2 per unit per month and a backlog costs $5 per unit per month.Regular plant capacity is 300 units per month.
 
-Use the information in Table D.4.The plant has no limits on the number of units produced by overtime or subcontractors and adopts a level plan strategy for the six-month planning period.What is the cost for month 6 of their level plan?
A)between $16,200 and $16,600
B)between $16,600 and $17,000
C)between $17,000 and $17,400
D)between $17,400 and $17,800

Accepted Answer

The answer of Table D.4
Bahouth Enterprises produces a variety of...

Question 6

Table D.5
The Harper Company is in the process of production planning for the next four quarters.The company follows a policy of a stable workforce and uses overtime and subcontracting to meet uneven forecasted demand.Anticipation inventory is also allowed,but not backorders.Undertime is paid,at a rate of $5.00 per unit.The beginning (or current)inventory is 25 units.Details are shown in the following POM for Windows table.  
-Use the information in Table D.5.Given the information in the optimal tableau,what is the demand forecast for quarter 2?
A)fewer than 30 units
B)greater than 30 units but fewer than or equal to 35 units
C)greater than 35 units but fewer than or equal to 40 units
D)greater than 40 units

Accepted Answer

The answer of Table D.5
The Harper Company is in the...

Question 7

Table D.3
Lisa lives out in the country with her seven cats and avoids driving into the big city as much as possible.She has decided to make her own cat food and has the following nutritional guidelines.Each four ounce portion must contain 22 units of protein,15 units of vitamin A,and 8 units of vitamin B.She has eggs,tomatoes,and chicken meat as possible inputs to her cat food.Each ounce of eggs contains 6 units of protein,4 units of Vitamin A,and 3 units of Vitamin B.Each ounce of tomatoes contains 1 unit of protein,8 units of Vitamin A,and 14 units of Vitamin B.Each ounce of chicken contains 22 units of protein,14 units of Vitamin A,and 8 units of Vitamin B.Chicken costs 40 cents per ounce,tomatoes cost 5 cents per ounce,and eggs cost 12 cents per ounce.
-Referring to Table D.3,what is an appropriate constraint for this scenario?
A)3*Eggs + 14*Tomatoes + 8*Chicken ≥ 8
B)22*Protein + 15*VitaminA + 8*VitaminB ≥ 8
C).12*Egg + .5*Tomato + .4*Chicken ≥ 4
D)22*Protein + 15*VitaminA + 8*VitaminB ≥ 4

Accepted Answer

The constraint 3*Eggs + 14*Tomatoes + 8*Chicken ≥ 8 ensures that the total amount of Vitamin B in the cat food is at least 8 units, which is one of the nutritional guidelines.

Question 8

Table D.5
The Harper Company is in the process of production planning for the next four quarters.The company follows a policy of a stable workforce and uses overtime and subcontracting to meet uneven forecasted demand.Anticipation inventory is also allowed,but not backorders.Undertime is paid,at a rate of $5.00 per unit.The beginning (or current)inventory is 25 units.Details are shown in the following POM for Windows table.  
-Use the information in Table D.5.What is the total cost of the optimal production plan?
A)less than or equal to $1,000
B)greater than $1,000 but less than or equal to $2,000
C)greater than $2,000 but less than or equal to $3,000
D)greater than $3,000

Accepted Answer

The answer of Table D.5
The Harper Company is in the...

Question 9

Table D.3
Lisa lives out in the country with her seven cats and avoids driving into the big city as much as possible.She has decided to make her own cat food and has the following nutritional guidelines.Each four ounce portion must contain 22 units of protein,15 units of vitamin A,and 8 units of vitamin B.She has eggs,tomatoes,and chicken meat as possible inputs to her cat food.Each ounce of eggs contains 6 units of protein,4 units of Vitamin A,and 3 units of Vitamin B.Each ounce of tomatoes contains 1 unit of protein,8 units of Vitamin A,and 14 units of Vitamin B.Each ounce of chicken contains 22 units of protein,14 units of Vitamin A,and 8 units of Vitamin B.Chicken costs 40 cents per ounce,tomatoes cost 5 cents per ounce,and eggs cost 12 cents per ounce.
-Referring to Table D.3,what is an appropriate objective function for this scenario?
A)Max Z = .12*Egg + .5*Tomato + .4*Chicken
B)Max Z = 22*Protein + 15*VitaminA + 8*VitaminB
C)Min Z = .12*Egg + .5*Tomato + .4*Chicken
D)Min Z = 22*Protein + 15*VitaminA + 8*VitaminB

Accepted Answer

The objective is to minimize the cost of the ingredients while meeting the nutritional guidelines, so the correct function is Min Z = .12*Egg + .5*Tomato + .4*Chicken.

Question 10

While glancing over the sensitivity report,you note that the stitching labor has a shadow price of $10 and a lower limit of 24 hours with an upper limit of 36 hours.If your original right hand value for stitching labor was 30 hours,you know that:
A)the next worker that offers to work an extra 8 hours should receive at least $80.
B)you can send someone home 6 hours early and still pay them the $60 they would have earned while on the clock.
C)you would be willing pay up to $60 for someone to work another 6 hours.
D)you would lose $80 if one of your workers missed an entire 8 hour shift.

Accepted Answer

The shadow price of $10 for stitching labor means that for every additional hour of labor, the company can expect to generate an additional $10 of revenue. The lower limit of 24 hours and upper limit of 36 hours mean that the company must use at least 24 hours of stitching labor and can use up to 36 hours of stitching labor. With an original right hand value of 30 hours, the company is currently within the allowable range of stitching labor.

Option A is incorrect because it assumes that the company needs an additional 8 hours of stitching labor, which is not stated in the problem. Option B is incorrect because it assumes that the company doesn't need the full 30 hours of stitching labor, which is also not stated in the problem. Option D is incorrect because it assumes that the company would lose money if a worker missed an entire 8-hour shift, but this is not related to the shadow price or the limits on stitching labor.

Therefore, the best choice is C, which states that the company would be willing to pay up to $60 for someone to work another 6 hours of stitching labor, taking into account the shadow price and allowable range.

Question 11

Table D.4
Bahouth Enterprises produces a variety of hookahs for clients around the globe.Their small plant has a highly flexible workforce that can switch between products seamlessly.They forecast using a six-month planning period and have a demand forecast as shown in the table.The per-unit costs for each output option the sales and operations planner has at his disposal are indicated in the table.Regular output costs $40 per unit,overtime production is $60 per unit,and subcontracting is $70 per unit.Holding inventory from one month to the next costs $2 per unit per month and a backlog costs $5 per unit per month.Regular plant capacity is 300 units per month.
 
-Use the information in Table D.4.If the plant has no limits on the number of units produced by overtime or subcontractors,what is the lowest-cost chase plan that is possible for the six-month period?
A)less than $50,000
B)between $50,000 and $100,000
C)between $100,000 and $150,000
D)between $150,000 and $200,000

Accepted Answer

The chase plan involves matching production with demand, minimizing inventory costs. Without limits on overtime or subcontracting, costs are primarily driven by production and labor, likely falling between $100,000 and $150,000.

Question 12

Table D.3
Lisa lives out in the country with her seven cats and avoids driving into the big city as much as possible.She has decided to make her own cat food and has the following nutritional guidelines.Each four ounce portion must contain 22 units of protein,15 units of vitamin A,and 8 units of vitamin B.She has eggs,tomatoes,and chicken meat as possible inputs to her cat food.Each ounce of eggs contains 6 units of protein,4 units of Vitamin A,and 3 units of Vitamin B.Each ounce of tomatoes contains 1 unit of protein,8 units of Vitamin A,and 14 units of Vitamin B.Each ounce of chicken contains 22 units of protein,14 units of Vitamin A,and 8 units of Vitamin B.Chicken costs 40 cents per ounce,tomatoes cost 5 cents per ounce,and eggs cost 12 cents per ounce.
-Referring to Table D.3,an optimal four ounce serving contains 3.6 ounces of eggs and .4 ounce of tomatoes.Which of the following statements is best?
A)The serving costs about 21 cents.
B)The serving costs about 17 cents
C)The serving costs about 34 cents.
D)The serving costs about 45 cents.

Accepted Answer

The answer of Table D.3
Lisa lives out in the country...

Question 13

Table D.4
Bahouth Enterprises produces a variety of hookahs for clients around the globe.Their small plant has a highly flexible workforce that can switch between products seamlessly.They forecast using a six-month planning period and have a demand forecast as shown in the table.The per-unit costs for each output option the sales and operations planner has at his disposal are indicated in the table.Regular output costs $40 per unit,overtime production is $60 per unit,and subcontracting is $70 per unit.Holding inventory from one month to the next costs $2 per unit per month and a backlog costs $5 per unit per month.Regular plant capacity is 300 units per month.
 
-Use the information in Table D.4.The plant has no limits on the number of units produced by overtime or subcontractors and adopts a chase plan strategy for the six-month planning period.What is the cost for month 6 of their chase plan?
A)$8,000
B)$9,852
C)$11,317
D)$12,631

Accepted Answer

The answer of Table D.4
Bahouth Enterprises produces a variety of...

Question 14

A manager is interested in deciding production quantities for products A,B,and C.He has an inventory of 20 tons each of raw materials 1,2,3,and 4 that are used in the production of products A,B,and C.He can further assume that he can sell all of what he makes.Which of the following statements is correct?
A)The manager has four decision variables.
B)The manager has three constraints.
C)The manager has three decision variables.
D)The manager can solve this problem graphically.

Accepted Answer

The manager has to decide the production quantities of three products A, B, and C using a total inventory of four raw materials. Hence, there are three decision variables. Since there are only limited inventories available for raw materials 1, 2, 3, and 4, there are three constraints. However, the question does not provide any information on whether the manager can solve this problem graphically or not.

Question 15

Table D.5
The Harper Company is in the process of production planning for the next four quarters.The company follows a policy of a stable workforce and uses overtime and subcontracting to meet uneven forecasted demand.Anticipation inventory is also allowed,but not backorders.Undertime is paid,at a rate of $5.00 per unit.The beginning (or current)inventory is 25 units.Details are shown in the following POM for Windows table.  
-Use the information in Table D.5.Given the information in the optimal tableau,what is the inventory carrying cost,in dollars per unit per quarter?
A)less than $1
B)greater than $1 but less than or equal to $2
C)greater than $2 but less than or equal to $3
D)greater than $3

Accepted Answer

The answer of Table D.5
The Harper Company is in the...

Question 16

Consider a corner point to a linear programming problem,which lies at the intersection of the following two constraints: 6X1 + 15X2 < 390 2X1 + X2 < 50 Which of the following statements about the corner point is true? A)X1 < 21 B)X1 > 25 C)X1 < 10 D)X1 > 17

Accepted Answer

The corner point is found by solving the system of equations formed by the constraints as equalities: 6X1 + 15X2 = 390 and 2X1 + X2 = 50. Solving these gives X1 = 20, which satisfies X1 < 21.

Question 17

Table D.5
The Harper Company is in the process of production planning for the next four quarters.The company follows a policy of a stable workforce and uses overtime and subcontracting to meet uneven forecasted demand.Anticipation inventory is also allowed,but not backorders.Undertime is paid,at a rate of $5.00 per unit.The beginning (or current)inventory is 25 units.Details are shown in the following POM for Windows table.  
-Use the information in Table D.5.According to the optimal production plan,what is the total ending inventory in the second quarter? Assume that the plan that uses the least amount of subcontracting is used.
A)none
B)two units
C)three units
D)greater than three units

Accepted Answer

The answer of Table D.5
The Harper Company is in the...

Question 18

Table D.4
Bahouth Enterprises produces a variety of hookahs for clients around the globe.Their small plant has a highly flexible workforce that can switch between products seamlessly.They forecast using a six-month planning period and have a demand forecast as shown in the table.The per-unit costs for each output option the sales and operations planner has at his disposal are indicated in the table.Regular output costs $40 per unit,overtime production is $60 per unit,and subcontracting is $70 per unit.Holding inventory from one month to the next costs $2 per unit per month and a backlog costs $5 per unit per month.Regular plant capacity is 300 units per month.
 
-Use the information in Table D.4.If the planner decides to adopt a level plan for the planning period,what will the regular output be for month 3?
A)between 290 and 330 units
B)between 330 and 370 units
C)between 370 and 410 units
D)between 410 and 450 units

Accepted Answer

The regular output for month 3 under a level plan is 330 units.

Question 19

Table D.5
The Harper Company is in the process of production planning for the next four quarters.The company follows a policy of a stable workforce and uses overtime and subcontracting to meet uneven forecasted demand.Anticipation inventory is also allowed,but not backorders.Undertime is paid,at a rate of $5.00 per unit.The beginning (or current)inventory is 25 units.Details are shown in the following POM for Windows table.  
-Use the information in Table D.5.According to the optimal production plan,what is the overtime production in the second quarter?
A)two units
B)three units
C)four units
D)five units

Accepted Answer

The answer of Table D.5
The Harper Company is in the...

Question 20

Table D.4
Bahouth Enterprises produces a variety of hookahs for clients around the globe.Their small plant has a highly flexible workforce that can switch between products seamlessly.They forecast using a six-month planning period and have a demand forecast as shown in the table.The per-unit costs for each output option the sales and operations planner has at his disposal are indicated in the table.Regular output costs $40 per unit,overtime production is $60 per unit,and subcontracting is $70 per unit.Holding inventory from one month to the next costs $2 per unit per month and a backlog costs $5 per unit per month.Regular plant capacity is 300 units per month.
 
-Use the information in Table D.4.If the planner decides to adopt a level plan for the planning period,what will the total output be for month 3?
A)between 350 and 400 units
B)between 400 and 450 units
C)between 450 and 500 units
D)more than 500 units

Accepted Answer

The answer of Table D.4
Bahouth Enterprises produces a variety of...

Quiz 20: Linear Programming

While glancing over the sensitivity report,you note that the stitching labor has a shadow price of $10 and a lower limit of 24 hours with an upper limit of 36 hours.If your original right hand value for stitching labor was 30 hours,you know that:

Consider a corner point to a linear programming problem,which lies at the intersection of the following two constraints: 6X1 + 15X2 < 390 2X1 + X2 < 50 Which of the following statements about the corner point is true?