Consider a capital budgeting problem with seven projects represented by binary (0 or 1) variables X_{1}, X_{2}, X_{3}, X_{4}, X_{5}, X_{6}, X_{7}. Wri

FizeauV

FizeauV

Answered question

2021-03-11

Consider a capital budgeting problem with seven projects represented by binary (0 or 1) variables X1, X2, X3, X4, X5,X6,X7. Write a constraint modeling the situation in which only 2 of the projects from 1, 2, 3 and 4 must be selected. Write a constraint modeling the situation in which at least 2 of the project from 1, 3, 4, and 7 must be selected. Write a constraint modeling the situation project 3 or 6 must be selected, but not both. Write a constraint modeling the situation in which at most 4 projects from the 7 can be selected.

Answer & Explanation

Caren

Caren

Skilled2021-03-12Added 96 answers

Step 1 Write a constraint modelling the situation in which only 2 of the projects from 1, 2, 3, and 4 must be selected Therefore, the constraint is, X1 + X2 + X3 + X4=2 Step 2 Write a constraint modelling the situation which at least 2 of the projects from 1, 3, 4 and 7 must be selected Therefore, the constraint is, X1 + X3 + X4 + X7 2 Step 3 Write a constraint modelling the situation project 3 or 6 must be selected, but not both. Therefore, the constraint is, X3 + X6=1 Step 4 Write a constraint modelling the situation in which at most 4 projects from the 7 can be selected. Therefore, the constraint is, X7 4

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