When a change in the value of an objective function coefficient remains within the range of optimality, the optimal solution would also remain the same.

Question

Quizplus · Accepted Answer

This statement is true. When a change in the value of an objective function coefficient remains within the range of optimality, the current optimal solution will continue to be optimal because the relative relationship between the value of the objective function and the constraints does not change. However, if the change in the coefficient goes beyond the range of optimality, then the current optimal solution would no longer be optimal.

When a Change in the Value of an Objective Function