The feasible region of a linear programming problem is bounded. The corresponding objective function is $Z=3x-4y$. The objective function attains

both maximum and minimum value of Z attained in the feasible region

The correct answer is Option (3) → both maximum and minimum value of Z attained in the feasible region **

A bounded feasible region ensures that every linear objective function attains both its extrema.

Since the feasible region is bounded, the linear objective function

$Z = 3x - 4y$

must achieve:

• a maximum value at some corner point • a minimum value at some corner point

Correct option:

both maximum and minimum value of Z attained in the feasible region