MHT CET 2022 Mathematics question

Not in JEE syllabus

The objective function of L.L.P defined over the convex set attains its optimum value at

(A)all the corner points
(B)at least two of the corner points
(C)none of the corner points
(D)at least one of the corner pointsCorrect

Answer: (D)

Solution

By the fundamental theorem of linear programming, the objective function (linear) over a convex feasible region attains its optimum (maximum or minimum), if it exists, at a corner point (vertex) of the region. Usually this happens at exactly one corner point, but it can also happen at two

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Question ID VK-093898