Linear Programming Question 47

Question: The solution of a problem to maximize the objective function $ z=x+2y $ under the constraints $ x-y\le 2 $ , $ x+y\le 4 $ and $ x,\ y\ge 0 $ , is

Options:

A) $ x=0,\ y=4,\ z=8 $

B) $ x=1,\ y=2,\ z=5 $

C) $ x=1,\ y=4,\ z=9 $

D) $ x=0,\ y=3,\ z=6 $

Show Answer

Answer:

Correct Answer: A

Solution:

$ z=x+2y $

Max $ z=0+4(2)=8 $ .