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In LPP, optimal solution (if it exists) is found at
AA corner (vertex) of the feasible region
BCentroid of feasible region (typical)
COrigin always (typical) (typical)
DInside the feasible region (typical)
Answer & Solution
Correct answer: A. A corner (vertex) of the feasible region
1. Fundamental theorem of LPP: at least one optimal solution lies at a vertex of the feasible region.
2. If multiple optimal solutions exist, they lie along an edge.
3. Hence checking vertices suffices for graphical LPP.
4. Hence (B) is correct.
_Source: Maharashtra Balbharati Std XII Mathematics & Statistics (Commerce), Ch 6 "Linear Programming", §6.3 ¶§6.3_
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