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Depression in Freezing Point

Which of the ...

Question

Which of the following statements is correct?
(a) Every LPP admits an optimal solution
(b) A LPP admits unique optimal solution
(c) If a LPP admits two optimal solution it has an infinite number of optimal solutions
(d) The set of all feasible solutions of a LPP is not a converse set

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Solution

(c) 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

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