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Solve the linear programming problem by the method of corners. Find the minimum and maximum of P = 7x + 3y subject to 3x + 5y ≥ 32 3x + y ≤ 16 −2x + y ≤ 6 x ≥ 0, y ≥ 0

 i need the min 

P=

X=

Y=

Guest Jun 24, 2017
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Look at the graph, here : https://www.desmos.com/calculator/ksxxeals66

 

The corner points  appear to be

 

(4,4)   (.154, 6.308)  and ( 2,10)

 

P at (4,4) = 40

P at (2,10)  = 44

P  at (.154, 6.308)  = 20.002

 

So   (x, y)  =  (.154, 6.308)  minimizes P  =  20.002   and (2,10)  maximizes P  = 44

 

 

cool cool cool

CPhill  Jun 24, 2017
edited by CPhill  Jun 24, 2017

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