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The optimal value of the objective function is attained at the ______ points of the feasible region.

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Question

The optimal value of the objective function is attained at the ______ points of the feasible region.

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Solution

The optimal value of the objective function is attained at the corner points of the feasible region.

Explanation:

  • The optimal value of the objective function in a linear programming problem is always attained at the corner (or extreme) points of the feasible region.
  • This is because linear functions achieve maximum or minimum values at these point
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Chapter 6: Linear Programming - Miscellaneous Exercise 6 [Page 103]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 6 Linear Programming
Miscellaneous Exercise 6 | Q 2.3 | Page 103
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