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Use the technique developed in this section to solve the minimization problem. Minimize   C = x...

Use the technique developed in this section to solve the minimization problem.

Minimize  

C = x − 7y + z
subject to  
x − 2y + 3z ≤ 10
2x + y − 2z ≤ 15
2x + y + 3z ≤ 20
x ≥ 0, y ≥ 0, z ≥ 0  

The minimum is C =  

at (x, y, z) =

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