1.

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.                 \[x=0,\ y=3,\ z=6\]
Answer» B.                 \[x=1,\ y=2,\ z=5\]


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