question_answer

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 

A)                 \[x=0,\ y=4,\ z=8\]         

B)                 \[x=1,\ y=2,\ z=5\]

C)                 \[x=1,\ y=4,\ z=9\]         

D)                 \[x=0,\ y=3,\ z=6\]

Correct Answer: A

Solution :

                \[z=x+2y\]                 Max\[z=0+4(2)=8\].