Solve the linear programming problem by the method of corners.

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Angnyvrqc

Mathematics

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Solve the linear programming problem by the method of corners.

Find the minimum and maximum of P = 4x + 2y subject to

3x + 5y ≥ 20 
3x + y ≤ 16
−2x + y ≤ 4
x ≥ 0, y ≥ 0. 

The minimum is P =  at 

(xy) = 
  
 
.

The maximum is P =  at 
(xy) = 
  
 

.

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