The amount by which an objective function coefficient can change before a different set of values for the decision variables becomes optimal is the
A)optimal solution.
B)dual solution.
C)range of optimality.
D)range of feasibility.

Question

Quizplus · Accepted Answer

The range of optimality defines the range of values for which the current optimal solution remains optimal. In other words, if the objective function coefficient changes by an amount within the range of optimality, the current optimal solution remains optimal. Therefore, the correct answer is C. The other options are incorrect based on their definitions: The optimal solution is the set of values for the decision variables that maximizes or minimizes the objective function. The dual solution is the solution of the dual linear programming problem. The range of feasibility defines the range of values for the right-hand side of the constraints for which the current solution remains feasible.

The Amount by Which an Objective Function Coefficient Can Change