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Consider a capital budgeting problem with seven projects represented by binary (0 or 1) variables X1,...

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

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