A local non-profit is preparing their budget and considering which of five projects to select. Let...
A local non-profit is preparing their budget and considering which of five projects to select. Let pi = 1 if project 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 three projects.
b. If project 1 is chosen, project 2 must be chosen.
c. If project 4 is chosen, project 5 must not be chosen.
d. Projects cost 140, 230, 160, 85, and 280 respectively. The budget is 475.
e. No more than two of projects 1, 3, and 5 can be chosen.
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