3. 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. Write the appropriate constraint(s) for each of the following conditions. Conditions are independent of one another. (a) Select no fewer than three projects. (b) If project 3 is selected, then project 4 must also be selected. (c) Projects cost 150, 150, 90, 275, and 200 respectively. The budget is 400. (d) No more than two of the five projects can be selected.

Show work please :)