As long as the objective function coefficient remains within the range of optimality,the variable values will not change although the value of the objective function could.

Question

Quizplus · Accepted Answer

This statement is true. The optimal solution of a linear programming problem is determined by the values of the objective function coefficients and the constraints. As long as the objective function coefficient remains within the range of optimality, which is the range of values for which the current optimal solution is optimal, the variable values will remain the same. However, it is possible that the value of the objective function could change within this range, since it depends on the specific values of the decision variables.

As Long as the Objective Function Coefficient Remains Within the Range