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 \[x,\ y\ge 0\]

To maximize the objective function \[z=2x+3y\] under the constraints \

1.	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 \[x,\ y\ge 0\]
A.	\[x=12,\ y=18\]
B.	\[x=18,\ y=12\]
C.	\[x=12,\ y=12\]
D.	\[x=20,\ y=10\]
Answer» C. \[x=12,\ y=12\]

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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 \[x,\ y\ge 0\]

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