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For a linear objective function under linear constraints, the optimal value must occur at a:
ACentral point
BCurved point
CCasual point
DCorner point
Answer & Solution
Correct answer: D. Corner point
1. The objective function is linear, so it has no interior peak.
2. It increases steadily across the region in one direction.
3. The optimal value must occur at a corner point, or vertex, of the feasible region.
4. That is what makes testing only the vertices enough.
_Source: NCERT Class XII Mathematics Part II, Ch 12 'Linear Programming'_
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