Question: How to define the formulation for number 1 (a and b) with integer linear programming? And also can you explain why can the formulation are

How to define the formulation for number 1 (a and b) with integer linear programming? And also can you explain why can the formulation are form in that way? Thank you.

Below are the problem.

How to define the formulation for number 1 (a and

Five projects are being evaluated over a 3-year planning borizon. The following table gives the expected returns for each project and the associated yearly expenditures. Expenditures (million $)/yr Project Returns (million $) WAU 20 2 Available funds (million $) & Which projects should be selected over the 3-year horizon? The problem reduces to a "yes-no" decision for each project. Define the binary variable x; as (1, if project j is selected lo, if project j is not selected 1. Modify and solve the capital budgeting model of Example 9.1-1 to account for the fol- lowing additional restrictions: (a) Project 5 must be selected if either project 1 or project 3 is selected. (b) Projects 2 and 3 are mutually exclusive

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