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QUESTION

Solve the linear programming problem by the method of corners. Maximize: P = 3x + 7y subject to:

Solve the linear programming problem by the method of corners.

Maximize:P = 3x + 7y   

subject to:

 x + y ≤ 10

3x + y ≥ 12

−2x + 3y ≥ 6

x ≥ 0, y ≥ 0  

The maximum is P =  

 at (x, y) = 

Solve the linear programming problem by the method of corners.

Maximize:P = 3x − 2y   

subject to:

x + 2y ≤ 50

5x + 4y ≤ 145

2x + y ≥ 25

y ≥ 10, x ≥ 0  

The maximum is P =  

 at (x, y) = 

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