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The value of objective function is maximum under linear constraints ______. - Mathematics

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Question

The value of objective function is maximum under linear constraints ______.

Options

  • at the centre of feasible region

  •  at (0, 0)

  •  at any vertex of feasible region

  •  the vertex which is maximum distance from (0, 0)

MCQ
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Solution

The value of objective function is maximum under linear constraints at any vertex of feasible region.

Explanation:

In linear programming problem we substitute the coordinates of vertices of feasible region in the objective function and then we obtain the maximum or minimum value. Therefore, the value of objective function is maximum under linear constraints at any vertex of feasible region.

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Chapter 30: Linear programming - MCQ [Page 68]

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RD Sharma Mathematics [English] Class 12
Chapter 30 Linear programming
MCQ | Q 16 | Page 68

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