As long as the objective function coefficient for a given variable increases within its allowable increase,the current optimal solution remains the same

Question

Quizplus · Accepted Answer

This statement is true. If the objective function coefficient for a given variable increases within its allowable increase, the current optimal solution remains the same. This is because the increased coefficient increases the contribution of that variable to the objective function, making it more attractive for the solver to increase its value, but only up to the point where it hits its upper bound. Since the upper bound remains constant, the optimal solution will not change unless another variable becomes more attractive to increase.

As Long as the Objective Function Coefficient for a Given