A company produces two products. Each product can be produced on either one of t

Question

A company produces two products. Each product can be produced on either one of three machines. The time (in hours) required to produce each product on each machine is shown below:

Machine 1

Machine 2

Machine 3

5

4

6

8

5

5

Each month, 600 hours of time are available on each machine, and that customers are willing to buy up to the quantities of each product at the prices that are shown below:

Prices

Month 1

Month 2

Month 1

Month 2

120

200

$60

$15

150

130

$70

$35

The company’s goal is to maximize the revenue obtained from selling units during the next two months.

How many decision variables does this problem have?

12

3

6

8

Machine 1

Machine 2

Machine 3

5

4

6

8

5

5

Explanation / Answer

Solution: 8

Working: The decision variables refers to how much of each product can be made on each machine in each month, which equals eight total decision variables

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