Question: Grush Consulting has five projects to consider. Each will require time in the next two quarters according to the table below. Project Time in first

Grush Consulting has five projects to consider. Each will require time in the next two quarters according to the table below.

Project

Time in first quarter

Time in second quarter

Revenue

A

5

8

12000

B

3

12

10000

C

7

5

15000

D

2

3

5000

E

15

1

20000

Revenue from each project is also shown. Develop a model whose solution would maximize revenue, meet the time budget of 25 in the first quarter and 20 in the second quarter, and not do both projects C and D.

What are the optimal values? Meaning state the optimal values of decision variables and the value of the objective function

Hint: Let A = 1 if project A is selected, 0 otherwise; same for B, C, D, and E

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