The minimum value of \(z=2x+5y\) subject to \(x+y\ge4,\ x+3y\ge6,\ x,y\ge0\) is
A. 12
B. 10
C. 11
D. 20
A. 12
B. 10
C. 11
D. 20
Best answer
Answer: C. 11
Corner points of the (unbounded) region: (6,0)→12, (3,1)→11, (0,4)→20. Since both coefficients are positive, the minimum is 11 at (3,1).
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