Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

The feasible region of a LPP is bounded. The corresponding objective function is $Z= 6x - 7y$. Then objective function attains:

Options:

Only maximum in the feasible region

Only minimum in the feasible region

both maximum and minimum in the feasible region

either maximum or minimum but not both in the feasible region.

Correct Answer:

both maximum and minimum in the feasible region

Explanation:

The correct answer is Option (3) → both maximum and minimum in the feasible region

Given that the feasible region of the LPP is bounded and the objective function is

$Z = 6x - 7y$.

For any linear programming problem, if the feasible region is bounded, the objective function always attains both a maximum and a minimum value at the corner points of the feasible region.

Therefore, the objective function attains both maximum and minimum values in the feasible region.

Correct option: Both maximum and minimum in the feasible region.