The objective function that will model the total profit on a monthly basis for a television manufacturer that makes x rear-projection and y plasma televisions. The profit per unit is $ 125 for the rear-projection televisions and $ 200 for plasma televisions.

Question

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Answer 1

Question

Chapter 8.6, Problem 15E

(a)

To determine

The objective function that will model the total profit on a monthly basis for a television manufacturer that makes x rear-projection and y plasma televisions. The profit per unit is $125 for the rear-projection televisions and $200 for plasma televisions.

(b)

To determine

The system of three inequalities that models the constraints that the capacity of the equipment installed the factory is at most 450 rear-projection televisions in one month, capacity of the equipment installed the factory is at most 200 plasma televisions in one month and the cost to the manufacturer per unit is $600 for the rear-projection televisions and $900 for plasma televisions. Total monthly costs cannot exceed $360,000.

(c)

To determine

To graph: The sketch of the inequalities x≤450y≤200600x+900y≤360,000 in quadrant I only as x and y must be positive.

(d)

To determine

To calculate: The value of the objective function z=125x+200y for total monthly profit at five vertices (0,0),(0,200),(300,200),(450,100),(450,0) of graphed region.

(e)

To determine

To fill: The blank spaces in the statement, “The television manufacturer will make the greatest profit by manufacturing ___ rear-projection televisions each month and _ plasma television each month. The maximum monthly profit is $_________.”

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Answer 2

Question

Chapter 8.6, Problem 15E

(a)

To determine

The objective function that will model the total profit on a monthly basis for a television manufacturer that makes x rear-projection and y plasma televisions. The profit per unit is $125 for the rear-projection televisions and $200 for plasma televisions.

(b)

To determine

The system of three inequalities that models the constraints that the capacity of the equipment installed the factory is at most 450 rear-projection televisions in one month, capacity of the equipment installed the factory is at most 200 plasma televisions in one month and the cost to the manufacturer per unit is $600 for the rear-projection televisions and $900 for plasma televisions. Total monthly costs cannot exceed $360,000.

(c)

To determine

To graph: The sketch of the inequalities x≤450y≤200600x+900y≤360,000 in quadrant I only as x and y must be positive.

(d)

To determine

To calculate: The value of the objective function z=125x+200y for total monthly profit at five vertices (0,0),(0,200),(300,200),(450,100),(450,0) of graphed region.

(e)

To determine

To fill: The blank spaces in the statement, “The television manufacturer will make the greatest profit by manufacturing ___ rear-projection televisions each month and _ plasma television each month. The maximum monthly profit is $_________.”

Expert Solution & Answer

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Answer 3

Question

Chapter 8.6, Problem 15E

(a)

To determine

The objective function that will model the total profit on a monthly basis for a television manufacturer that makes x rear-projection and y plasma televisions. The profit per unit is $125 for the rear-projection televisions and $200 for plasma televisions.

(b)

To determine

The system of three inequalities that models the constraints that the capacity of the equipment installed the factory is at most 450 rear-projection televisions in one month, capacity of the equipment installed the factory is at most 200 plasma televisions in one month and the cost to the manufacturer per unit is $600 for the rear-projection televisions and $900 for plasma televisions. Total monthly costs cannot exceed $360,000.

(c)

To determine

To graph: The sketch of the inequalities x≤450y≤200600x+900y≤360,000 in quadrant I only as x and y must be positive.

(d)

To determine

To calculate: The value of the objective function z=125x+200y for total monthly profit at five vertices (0,0),(0,200),(300,200),(450,100),(450,0) of graphed region.

(e)

To determine

To fill: The blank spaces in the statement, “The television manufacturer will make the greatest profit by manufacturing ___ rear-projection televisions each month and _ plasma television each month. The maximum monthly profit is $_________.”

Expert Solution & Answer

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See solution

Answer 4

Question

Chapter 8.6, Problem 15E

(a)

To determine

The objective function that will model the total profit on a monthly basis for a television manufacturer that makes x rear-projection and y plasma televisions. The profit per unit is $125 for the rear-projection televisions and $200 for plasma televisions.

(b)

To determine

The system of three inequalities that models the constraints that the capacity of the equipment installed the factory is at most 450 rear-projection televisions in one month, capacity of the equipment installed the factory is at most 200 plasma televisions in one month and the cost to the manufacturer per unit is $600 for the rear-projection televisions and $900 for plasma televisions. Total monthly costs cannot exceed $360,000.

(c)

To determine

To graph: The sketch of the inequalities x≤450y≤200600x+900y≤360,000 in quadrant I only as x and y must be positive.

(d)

To determine

To calculate: The value of the objective function z=125x+200y for total monthly profit at five vertices (0,0),(0,200),(300,200),(450,100),(450,0) of graphed region.

(e)

To determine

To fill: The blank spaces in the statement, “The television manufacturer will make the greatest profit by manufacturing ___ rear-projection televisions each month and _ plasma television each month. The maximum monthly profit is $_________.”

Expert Solution & Answer

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Answer 5

Chapter 8.6, Problem 15E

(a)

To determine

The objective function that will model the total profit on a monthly basis for a television manufacturer that makes x rear-projection and y plasma televisions. The profit per unit is $125 for the rear-projection televisions and $200 for plasma televisions.

(b)

To determine

The system of three inequalities that models the constraints that the capacity of the equipment installed the factory is at most 450 rear-projection televisions in one month, capacity of the equipment installed the factory is at most 200 plasma televisions in one month and the cost to the manufacturer per unit is $600 for the rear-projection televisions and $900 for plasma televisions. Total monthly costs cannot exceed $360,000.

(c)

To determine

To graph: The sketch of the inequalities x≤450y≤200600x+900y≤360,000 in quadrant I only as x and y must be positive.

(d)

To determine

To calculate: The value of the objective function z=125x+200y for total monthly profit at five vertices (0,0),(0,200),(300,200),(450,100),(450,0) of graphed region.

(e)

To determine

To fill: The blank spaces in the statement, “The television manufacturer will make the greatest profit by manufacturing ___ rear-projection televisions each month and _ plasma television each month. The maximum monthly profit is $_________.”

Answer 6

Chapter 8.6, Problem 15E

(a)

To determine

The objective function that will model the total profit on a monthly basis for a television manufacturer that makes x rear-projection and y plasma televisions. The profit per unit is $125 for the rear-projection televisions and $200 for plasma televisions.

Answer 7

Chapter 8.6, Problem 15E

(a)

To determine

The objective function that will model the total profit on a monthly basis for a television manufacturer that makes x rear-projection and y plasma televisions. The profit per unit is $125 for the rear-projection televisions and $200 for plasma televisions.

Answer 8

(b)

To determine

The system of three inequalities that models the constraints that the capacity of the equipment installed the factory is at most 450 rear-projection televisions in one month, capacity of the equipment installed the factory is at most 200 plasma televisions in one month and the cost to the manufacturer per unit is $600 for the rear-projection televisions and $900 for plasma televisions. Total monthly costs cannot exceed $360,000.

Answer 9

(b)

To determine

The system of three inequalities that models the constraints that the capacity of the equipment installed the factory is at most 450 rear-projection televisions in one month, capacity of the equipment installed the factory is at most 200 plasma televisions in one month and the cost to the manufacturer per unit is $600 for the rear-projection televisions and $900 for plasma televisions. Total monthly costs cannot exceed $360,000.

Answer 10

(c)

To determine

To graph: The sketch of the inequalities x≤450y≤200600x+900y≤360,000 in quadrant I only as x and y must be positive.

Answer 11

(c)

To determine

To graph: The sketch of the inequalities x≤450y≤200600x+900y≤360,000 in quadrant I only as x and y must be positive.

Answer 12

(d)

To determine

To calculate: The value of the objective function z=125x+200y for total monthly profit at five vertices (0,0),(0,200),(300,200),(450,100),(450,0) of graphed region.

Answer 13

(d)

To determine

To calculate: The value of the objective function z=125x+200y for total monthly profit at five vertices (0,0),(0,200),(300,200),(450,100),(450,0) of graphed region.

Answer 14

(e)

To determine

To fill: The blank spaces in the statement, “The television manufacturer will make the greatest profit by manufacturing ___ rear-projection televisions each month and _ plasma television each month. The maximum monthly profit is $_________.”

Answer 15

(e)

To determine

To fill: The blank spaces in the statement, “The television manufacturer will make the greatest profit by manufacturing ___ rear-projection televisions each month and _ plasma television each month. The maximum monthly profit is $_________.”

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

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Answer 19

The objective function that will model the total profit on a monthly basis for a television manufacturer that makes x rear-projection and y plasma televisions. The profit per unit is $ 125 for the rear-projection televisions and $ 200 for plasma televisions.

Solution Summary: The author explains the required objective function that will model the monthly profit for a television manufacturer that makes x rear-projection and y plasma televisions.

Videos

The objective function that will model the total profit on a monthly basis for a television manufacturer that makes x rear-projection and y plasma televisions. The profit per unit is $125 for the rear-projection televisions and $200 for plasma televisions.

To graph: The sketch of the inequalities x≤450y≤200600x+900y≤360,000 in quadrant I only as x and y must be positive.

To calculate: The value of the objective function z=125x+200y for total monthly profit at five vertices (0,0),(0,200),(300,200),(450,100),(450,0) of graphed region.

To fill: The blank spaces in the statement, “The television manufacturer will make the greatest profit by manufacturing ___ rear-projection televisions each month and _ plasma television each month. The maximum monthly profit is $_________.”

Want to see the full answer?

Chapter 8 Solutions

The objective function that will model the total profit on a monthly basis for a television manufacturer that makes x rear-projection and y plasma televisions. The profit per unit is $ 125 for the rear-projection televisions and $ 200 for plasma televisions.

Solution Summary: The author explains the required objective function that will model the monthly profit for a television manufacturer that makes x rear-projection and y plasma televisions.

Videos

The objective function that will model the total profit on a monthly basis for a television manufacturer that makes x rear-projection and y plasma televisions. The profit per unit is $125 for the rear-projection televisions and $200 for plasma televisions.

To graph: The sketch of the inequalities x≤450y≤200600x+900y≤360,000 in quadrant I only as x and y must be positive.

To calculate: The value of the objective function z=125x+200y for total monthly profit at five vertices (0,0),(0,200),(300,200),(450,100),(450,0) of graphed region.

To fill: The blank spaces in the statement, “The television manufacturer will make the greatest profit by manufacturing _________ rear-projection televisions each month and ___________ plasma television each month. The maximum monthly profit is $_____________.”

Want to see the full answer?

Chapter 8 Solutions

To fill: The blank spaces in the statement, “The television manufacturer will make the greatest profit by manufacturing ___ rear-projection televisions each month and _ plasma television each month. The maximum monthly profit is $_________.”