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Which of the Following Statements is Correct? (A) Every Lpp Admits an Optimal Solution (B) a Lpp Admits Unique Optimal Solution - Mathematics

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Question

Which of the following statements is correct?

Options

  • Every LPP an optimal solution.

  •  A LPP unique optimal solution.

  •  If LPP two optimal solution it has an infinite number of optimal solutions.

  • The set of all feasible solutions of a LPP is not a convex set.

MCQ

Solution

 If  LPP admits two optimal solutions, it has an infinite number of optimal solutions.

Explanation:

It is known that the optimal solution of an LPP eiher exists uniquely, does not exist or exists infinitely.
So, If a LPP admits two optimal solution it has an infinite number of optimal solutions

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Linear Programming Problem (L.P.P.)
  Is there an error in this question or solution?
Chapter 30: Linear programming - MCQ [Page 68]

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RD Sharma Mathematics [English] Class 12
Chapter 30 Linear programming
MCQ | Q 11 | Page 68
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