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

Question

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

Machine 1

Machine 2

5

4

8

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:

Demands / 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 constraints does this problem have?

How many decision variables does this problem have?

Machine 1

Machine 2

5

4

8

5

Explanation / Answer

Constraints in this problem:
Market demand constraints for both products in both months(four total ), machine hours used for both products in both months(four total)

Decision variables in this problem:
The decicion varibles are how much of each product to make on each machine in each month( 8 total decision variables)

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