Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Linear Programming

Question:

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 ?

Options:

There are infinitely many optimal solutions

There are exactly two optimal solutions

There is a unique optimal solution

Optimal solution does not exist

Correct Answer:

There is a unique optimal solution

Explanation:

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)