TE Accounting is evaluating their budget for the next year and determining which projects should be picked.

Let yj= 1 if project j is selected, 0 if not, for j = 1,...,5.

Write the appropriate constraint(s) for each condition. Conditions are independent.

a.Choose no fewer than three projects.

b.If project 3 is chosen, project 2 must NOT be chosen.

c.If project 1 is chosen, project 4 must be chosen.

d.Projects cost 450, 320, 680, 850, and 670 respectively.

The budget is 2750.

e.No more than two of projects 1, 2, and 3 can be chosen.