Consider a capital budgeting example with five projects from which to select.Let x_{i} = 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 3 is chosen,project 4 must be chosen.
c.If project 1 is chosen,project 5 must not be chosen.
d.Projects cost 100,200,150,75,and 300,respectively.The budget is 450.
e.No more than two of projects 1,2,and 3 can be chosen.