If the feasible region of an LPP is bounded and the corresponding objective function is $Z=5x-9y$, then the objective function attains:
Answer & explanation
Correct answer: option 3
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.