If the feasible region of an LPP is bounded and the corresponding objective function is $Z=5x-9y$, then the objective function attains:

both maximum and minimum values in the feasible region

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

Given: The feasible region of the LPP is bounded, and the objective function is

$Z = 5x - 9y$

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 region.

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

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