Which of the following statement is correct?

MCQ

A
Every L.P.P. has atleast one optimal solution.
B
Every L.P.P. has a unique optimal solution.
✓
If an L.P.P. has two optimal solutions, then it has infinitely many solutions.
D
None of these

✓

Answer

Correct option: C.

If an L.P.P. has two optimal solutions, then it has infinitely many solutions.

(c) : If optimal solution is obtained at two distinct points $A$ and $B$ (corners of the feasible region), then optimal solution is obtained at every point of segment $[A B]$.

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