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📐 Mathematics  ·  Linear Programming  ·  JEE

In a linear programming problem, the function to be maximized or minimized is called the:

Answer: Objective function.

  • A Constraint
  • B Objective function
  • C Decision variable
  • D Feasible region

Correct answer: B. Objective function

Explanation: The objective function, usually written as Z = ax + by, is the linear function whose optimal value (maximum or minimum) we seek.

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 →