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Question:
The objective function of L.L.P. defined over the convex set attains its optimum value at
The objective function of L.L.P. defined over the convex set attains its optimum value at
Updated On: Jun 23, 2024
- none of the corner points
- at least two of the corner points
- all the corner points.
- at least one of the corner points.
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The Correct Option is D
Solution and Explanation
Let Z = ax+by be the objective function
When Z has optimum value (maximum or minimum), where the variables .x and y are subject to constraints described by linear inequalities, this optimum value must occur at a corner points of the feasible region.
Thus, the function attains its optimum value at least one of the corner points.
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