The feasible region of a linear programming problem is bounded. The corresponding objective function is $Z=3x-4y$. The objective function attains
Answer & explanation
Correct answer: option 3
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