Question

The feasible region for an $LPP$ is shown shaded in the figure.
Let $F=3x-4y$ be the objective function. Maximum value of $F$ is

• A. $0$
• B. $-16$
• C. $12$
• D. None of these

Answer 1

Answer: (C)

The fesible region as shown in the figure, has
objective function $F=3x-4y$.

Corner Points	Corresponding value of $F=3x-4y$
(0,0)	0
(12, 6)	12 (maximum)
(0, 4)	-16 (Minimum)

Hence, the maximum value of $F$ is $12$.