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Use the method of this section to solve the linear programming problem. Minimize   C = 2x − 3y +...

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Basic Math

Use the method of this section to solve the linear programmingproblem.

Minimize  

C = 2x −3y + 6z

subject to  
−x+2y−z≤9
x−2y+2z≤10
2x+4y−3z≤12
x ≥ 0, y ≥ 0,z ≥ 0  

The minimum is C =  

at (x, y,z) =

  

.

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