If A, B and C are all the corner points of feasible region (bounded) of an LPP with objective function Z that needs to be maximized such that $Z_A > Z_B$ and $Z_C< Z_A$ (Here $Z_A$ denotes value of Z at A), then which of the following statements is TRUE ? |
There are infinitely many optimal solutions There are exactly two optimal solutions There is a unique optimal solution Optimal solution does not exist |
There is a unique optimal solution |
The correct answer is Option (3) → There is a unique optimal solution As $Z_A>Z_B$ and $Z_A>Z_C$ ⇒ optimal solution occurs at A only (unique optimal solution) |