When considering simultaneous changes to the objective function coefficients of a linear program, if the sum of the absolute \% changes in the objective function coefficients is less than or equal to $100 \%$, then the current solution will continue to be the optimal solution, though the value of the objective function may change.

Question

Quizplus · Accepted Answer

If the sum of the absolute percentage changes in the objective function coefficients is less than or equal to 100%, the current solution will continue to be the optimal solution, though the value of the objective function may change. This is because the changes to the objective function coefficients are small enough that they do not affect the relative profitability of the different activities.

When Considering Simultaneous Changes to the Objective Function Coefficients of a Linear