The goal programming problem with the objective function Min P₁(d₁⁺)+ P₂(d₂−)is initially solved by the computer and the objective function value is 0.Which of the following constraints should be added for the second problem? A)d₁⁺ = 0 B)d₁⁺ + d₂− = 0 C)−d₁⁺ + d₂− = 0 D)d₁⁺ ≤ 0

Question

Quizplus · Accepted Answer

Since the objective function value is 0, it means that the deviations from the target values (represented by the d variables in the objective function) are minimized to 0. Therefore, adding a constraint that directly sets the expression involving these deviations to 0 (as in option A) ensures that the solution found in the first problem is maintained, which is consistent with the goal of having no deviations from the target values.

The Goal Programming Problem with the Objective Function Min P1(d1+)

The Goal Programming Problem with the Objective Function Min P₁(d₁⁺)