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📐 Mathematics  ·  Linear Programming  ·  JEE

The linear inequalities that decision variables must satisfy in an LPP are called:

Answer: Constraints.

  • A Constraints
  • B Objective functions
  • C Corner points
  • D Feasible points only

Correct answer: A. Constraints

Explanation: Constraints are the linear inequalities (and sometimes equations) representing limitations such as available resources, time, or material.

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.

Read the full Linear Programming notes →