John is setting up his catering schedule and must determine which events he will be able...
John is setting up his catering schedule and must determine which events he will be able to cater. Let ei = 1 if event i is selected, 0 if not, for i = 1,...,5. Write the appropriate constraint(s) for each condition. Conditions are independent.
| a. | Choose no fewer than four projects. |
| b. | If project 1 is chosen, project 3 must be chosen. |
| c. | If project 4 is chosen, project 2 must not be chosen. |
| d. | Projects cost 40, 30, 60, 85, and 28 respectively. The budget is 175. |
| e. | No more than two of projects 2, 3, and 5 can be chosen. |
Homework Answers
a.
x1+x2+x3+x4+x5 >= 4
b.
x1-x3 <= 0
c.
x4+x2 = 1
d.
40x1+30x2+60x3+85x4+28x5 <= 175
e.
x2+x3+x5 <= 2
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