Question

The feasible region for a $LPP$ is shown shaded in the figure.
Let $Z=3x-4y$ be the objective function. (Maximum value of $Z$ + Minimum value of $Z$) is equal to

• A. $13$
• B. $1$
• C. $-13$
• D. $-17$

Answer 1

Answer: (D)

maximum value of $Z+$ minimum value of $Z$. $=15-32=-17$

Corner Points	Corresponding value of $Z$
(0,0)	0
(5, 0)	15 (maximum)
(6, 5)	-2
(6, 8)	-14
(4, 10)	-28
(0, 8)	-32 (minimum)