The ABC Company manufactures three products A, B, and C. Following table lists the labor and material required per unit of each product, the sales price and the unit variable cost for each product. There are 4500 labor hours and 4000 pounds of material available for the coming week. Table Data - ABC Company   Product A Product B Product C Labor (Hours) 2 1 6 Material (Pounds) 3 2.5 4 Sales Price $35 $20 $55 Unit Variable Cost $20 $10 $25   Formulate the problem to find the optimal production plan for the coming week. How many units of each product should be produced? What is the maximum total profit? Is there any resource that is not used? If so, how many units?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 73P
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The ABC Company manufactures three products A, B, and C. Following table lists the labor and material required per unit of each product, the sales price and the unit variable cost for each product. There are 4500 labor hours and 4000 pounds of material available for the coming week.

Table Data - ABC Company

 

Product A

Product B

Product C

Labor (Hours)

2

1

6

Material (Pounds)

3

2.5

4

Sales Price

$35

$20

$55

Unit Variable Cost

$20

$10

$25

 

  1. Formulate the problem to find the optimal production plan for the coming week. How many units of each product should be produced? What is the maximum total profit? Is there any resource that is not used? If so, how many units?
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