A company wants to select 1 project from a set of 4 possible projects. Which of the following constraints ensures that only 1 will be selected? A)X₁ + X₂ + X₃ + X₄ = 1 B)X₁ + X₂ + X₃ + X₄ $\le$ 1 C)X₁ + X₂ + X₃ + X₄ $\ge$1 D)X₁ + X₂ + X₃ + X₄ $\ge$ 0

Question

Quizplus · Accepted Answer

In the constraint given in option A, the sum of binary variables for each project is multiplied by a constant (S1U1B0) and added together, and the total value is restricted to be equal to 1. This ensures that only one project will be selected as the value of each binary variable can either be 0 or 1, and the total value cannot exceed 1. Options B, C, and D do not ensure that only one project will be selected as they all allow for the possibility of selecting multiple projects or none at all.

A Company Wants to Select 1 Project from a Set ≤\le≤

A Company Wants to Select 1 Project from a Set $\le$