Question: Consider the capital budgeting problem with seven project represented by binary (0 or 1) variables X 1 , X 2 , X 3 , X

Consider the capital budgeting problem with seven project represented by binary (0 or 1) variables X1, X2, X3, X4, X5, X6, X7.

  1. Write the constraint modeling the situation in which at most 4 projects from projects 2, 3, 4, 5, 6, and 7 can be selected.
  2. Write the constraint modeling the situation in which only 2 of the projects from 2, 3, 4, and 5 must be selected.
  3. Write the constraint modeling the situation project 3 or 6 must be selected, but not both.
  4. Write the constraint modeling the situation in which at least 3 of the projects from 1, 2, 5, and 7 must be selected.

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