The maximum value of \(z=3x+2y\) subject to \(x+y\le4,\ x+3y\le6,\ x\ge0,\ y\ge0\) is
A. 8
B. 11
C. 12
D. 14
A. 8
B. 11
C. 12
D. 14
Best answer
Answer: C. 12
Corner points: (0,0)→0, (4,0)→12, (3,1)→11, (0,2)→4. Maximum \(=12\).
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