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📐 Mathematics  ·  Linear Programming  ·  JEE

The set of all points satisfying every constraint of an LPP simultaneously is called the:

Answer: Feasible region.

  • A Objective set
  • B Feasible region
  • C Corner set
  • D Decision region

Correct answer: B. Feasible region

Explanation: The feasible region is the common region (intersection) of all the constraint half-planes, containing every 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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