If a company selects Project 1 then it must also select either Project 2 or Project 3. Which of the following constraints enforces this condition? A) X₁ − X₂ − X₃ ≥ 0 B) X₁ + (X₂ − X₃) ≤ 0 C) X₁ + X₂ + X₃ ≤ 2 D) X₁ − X₂ − X₃ ≤ 0

Question

Quizplus · Accepted Answer

Constraint D represents a "must choose one" scenario by setting the difference between selecting Project 1 and not selecting Projects 2 and 3 to be less than or equal to zero. This ensures that Project 1 cannot be selected without also selecting at least one of Projects 2 or 3. The other constraints do not adequately represent this condition.

If a Company Selects Project 1 Then It Must Also