Question: Consider a capital budgeting example with five projects from which to select. Let Xi = 1 if project i is selected, 0 if not, for

Consider a capital budgeting example with five projects from which to select. Let Xi =1 if project i is selected, 0 if not, for i=1,2,3,4,5. Project 1 costs $100, project 2 costs $200, project 3 costs $150, project 4 costs $75, and project 5 costs $300. The budget is $450.
Using the variables defined above, what are the four appropriate constraints for the following conditions?
Choose no fewer than three projects.
If project 3 is chosen, project 4 must be chosen.
The total cost cannot exceed the budget.
Projects 4 and 5 cannot be both selected.

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