Answer: corner point.
- A corner point
- B centre
- C deep interior point
- D randomly chosen point
Correct answer: A. corner point
Explanation: The optimum lies at a corner (vertex) of the feasible region.
The feasible region (shaded) is bounded by the constraint lines; the fundamental theorem of LPP guarantees the optimal value of the objective function occurs at one of the corner points (O, A, B, C), so only these need to be checked, not the entire region.
Concept context
Optimizing a linear objective function subject to linear constraints using the graphical corner point method.