1-Please write linear constraint(s) to enforce this restriction: Project 5 depends on both Project 3 and Project 4. That is, if Project 5 is selected, then Projects 3 and 4 must also be selected.

Please type your answer in the space below using decision variables "x3", "x4" and "x5" and inequality sign "=".

2-

(Answer this question independent of the preceding question.)

Please write linear constraint(s) to enforce this restriction: Projects 1, 2 and 3 are mutually exclusive. That is, if any one of them is selected, then the other two cannot be selected.

Please type your answer in the space below using decision variables "x1", "x2" and "x3" and inequality sign "=".

Project Selection (and Binary Decision Variables) Suppose that you are modeling a project selection problem as a Linear Program with binary decision variables. There are five projects to choose from: Projects 1 through 5. We define the following binary decision variables: X; = 1, if Project i is selected, and Xi = 0) if Project i is not selected for i = 1, 2, 3, 4, 5. Please use these binary decision variables to write linear constraints that implement the restrictions specified in the following questions. Answer these questions independent of each other