Which of the following statement is correct?

Question

Which of the following statement is correct? (A) Every LPP has at least one optimal solution (B) Every LPP has a unique optimal solution (C) If an LPP has two optimal solutions, then it has infinitely many solutions (D) None of these

Tardigrade Admin · Accepted Answer

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 [AB].

Q. Which of the following statement is correct?

Every $L PP$ has at least one optimal solution

Every $L PP$ has a unique optimal solution

If an $L PP$ has two optimal solutions, then it has infinitely many solutions

None of these

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 $[A B]$ .