Chapter: Linear Programming· Mathematics & Statistics (Commerce) Part 2

State whether true or false: The optimum value of the objective function of L.P.P. occurs at the center of the feasible region.

Q.4 (B)(iii) State whether true or false: The optimum value of the objective function of L.P.P. occurs at the center of the feasible region.

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Answer: False

By the fundamental theorem of linear programming, the optimum value (if it exists) occurs at a corner point (vertex) of the feasible region, not at its centre.

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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State whether true or false: The optimum value of the objective function of L.P.P. occurs at the center of the feasible region.

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