Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12

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

MCQ

Which of the following statements is correct?

#### Options

• Every LPP admits an optimal solution

•  A LPP admits unique optimal solution

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

• The set of all feasible solutions of a LPP is not a converse set

#### Solution

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

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

Concept: Introduction of Linear Programming
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#### APPEARS IN

RD Sharma Class 12 Maths
Chapter 30 Linear programming
MCQ | Q 11 | Page 68