Question

P1. M.Scott Paper Mill is a small-scale paper company which has...

P1. M.Scott Paper Mill is a small-scale paper company which has four machines to produce four different types of papers. Each type of paper must go through processing on each of four machines. The manufacturing time (in minutes) per unit of paper produced is in the following table:

Time required (in minutes)

Paper Type

Machine Type

A

B

C

D

1

2.4

1.2

3.2

2.7

2

2.1

2.4

3.3

3.2

3

1.6

0.9

5.1

2.6

4

2.5

2.5

6.5

3.2

(continued from above)

The maximum time allotted for each machine is 32 hours per week and at least 100 units of each type of paper should be made using these machines during the week.

Profit per unit is:

PaperType

A

B

C

D

Profit ($)

0.25

0.32

0.5

0.44

What are all of the constraints for this model? List the constraints here. Are all of the constraints needed for this model? Which machine constraint has the most important impact on paper production? Explain briefly.

What is the optimal solution in terms of the objective function and decision variables?

Is there only one optimal solution for this problem? Yes/No and briefly explain