Linear Programming Question 76

Question: The value of objective function is maximum under linear constraints

Options:

A) At the center of the feasible region

B) At the origin (0, 0)

C) At any vertex of the feasible region

D) The vertex which is at maximum distance from the origin

Show Answer

Answer:

Correct Answer: D

Solution:

It is a fundamental concept.

The value of objective function is maximum under linear constraints

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



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