If at most 3 of 7 projects are to be performed, this can be modeled by X₁ + X₂ + X₃ + X₄ + X₅ + X₆ + X₇ $\le$ 3, where X₁, X₂, X₃, X₄, X₅, X₆, and X₇ are all restricted to be non-negative, have an upper bound of 1, and be integer-valued.

Question

Quizplus · Accepted Answer

The constraint X₁ + X₂ + X₃ + X₄ + X₅ + X₆ + X₇ F1F1F1S1≤F1F1F10 3 is equivalent to saying that the sum of at most 3 out of 7 variables X₁, X₂, X₃, X₄, X₅, X₆, and X₇ must be less than or equal to 3. Therefore, the answer is true.

If at Most 3 of 7 Projects Are to Be ≤\le≤

If at Most 3 of 7 Projects Are to Be $\le$