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📐 Mathematics  ·  Linear Programming  ·  JEE

Points that satisfy all the constraints of an LPP are called ___ solutions:

Answer: feasible.

  • A feasible
  • B infeasible
  • C optimal-only
  • D corner-only

Correct answer: A. feasible

Explanation: Any point in the feasible region is a feasible solution.

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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