A company wants to select no more than 2 projects from a set of 4 possible projects. Which of the following constraints ensures that no more than 2 will be selected? A) X₁ + X₂ + X₃ + X₄ = 2 B) X₁ + X₂ + X₃ + X₄ ≤ 2 C) X₁ + X₂ + X₃ + X₄ ≥ 2 D) X₁ + X₂ + X₃ + X₄ ≥ 0

Question

Quizplus · Accepted Answer

The constraint X₁ + X₂ + X₃ + X₄ ≤ 2 ensures that no more than 2 projects are selected because the sum of the decision variables for all projects is limited to 2 or less. Choice A specifies that exactly 2 projects must be selected, which may not be the case. Choice C specifies that at least 2 projects must be selected, which would not meet the requirement to select no more than 2. Choice D does not specify any constraint on the number of projects that can be selected.

A Company Wants to Select No More Than 2 Projects