Linear Programming Question 124
Question: The maximum value of $ z=6x+8y $ subject to constraints $ 2x+y\le 30,x+2y\le 24 $ and $ x\ge 0,y\ge 0 $ is
Options:
A) 90
B) 120
C) 96
D) 240
Show Answer
Answer:
Correct Answer: B
Solution:
Here, $ 2x+y\le 30,x+2y\le 24,x,y\ge 0 $
The shaded region represents the feasible region, hence $ z=6x+8y. $
Obviously it is maximum at $ (12,6). $
Hence $ z=12\times 6+8\times 6=120 $
BETA
