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📐 Mathematics  ·  Linear Programming  ·  JEE

To solve an LPP graphically, the objective function is evaluated at each:

Answer: corner point.

  • A corner point
  • B deep interior point
  • C curved arc
  • D single axis intercept

Correct answer: A. corner point

Explanation: We compute Z at every corner point and pick the best value.

Feasible Region and Corner PointsxyOABCfeasible regionZ = ax+by is evaluated ONLY at corners O, A, B, C - the optimum is always at one of these

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.

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