When the objective function coincides with a single point in the feasible space:
A)an optimal solution cannot be determined.
B)there is only one optimal solution.
C)there are many possible optimal solutions.
D)an optimal solution does not exist.

Question

Quizplus · Accepted Answer

If the objective function coincides with a single point in the feasible space, it means that there exists only one feasible solution that satisfies all the constraints and also optimizes the objective function. Hence, there is only one optimal solution. If the objective function coincides with a single point in the feasible space, then there is only one point in the feasible space that satisfies the constraints and also optimizes the objective function. Therefore, there is only one optimal solution.

When the Objective Function Coincides with a Single Point in the Feasible