Linear Programming Question 49
Question: To maximize the objective function $ z=2x+3y $ under the constraints $ x+y\le 30,\ x-y\ge 0,\ y\le 12, $
$ x\le 20, $
$ y\ge 3 $ and $ x,\ y\ge 0 $
Options:
A) $ x=12,\ y=18 $
B) $ x=18,\ y=12 $
C) $ x=12,\ y=12 $
D) $ x=20,\ y=10 $
Show Answer
Answer:
Correct Answer: B
Solution:
The objective function is Max $ z=2x+3y $ . The vertices are $ A(20,10) $ , $ B(18,12),C(12,12),D $
$ (3,3) $ and E (20, 3). Hence the maximum value of the objective function will be at (18, 12).
BETA
