Solve the linear programming problem by the method of corners.

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) = 
  
 

.

Jun 4th, 2015

Thank you for the opportunity to help you with your question!

Maximize 4X + 2Y
Subject to -
3X + 5y <=20
3X + Y <=16
2X + Y >= 4
a) Plot the graph for each
b) Find the four corner points
c) Find the profit for each Point
d) What is the maximum profit? 
My answer:
Graph 4x + 4y <= 48 Graph x + 2y = 20
X= 0 y=12 x= 0 y= 10 
x= 0 y= 12 x = 20 y= 0 
I have done the graph but I do not know how to work the rest

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 4th, 2015

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