SOLUTION: PLEASE HELP !! Maximize: z=3x+5y given the constraints 4x+7y <= 28 10x - 7y <=28 x >= 0 y >= 0

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Question 966510: PLEASE HELP !!
Maximize:
z=3x+5y given the constraints
4x+7y <= 28
10x - 7y <=28
x >= 0
y >= 0

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
First map the feasible region.
.
Find the point of intersection.


Add the equations together,


Then,



Now from the graph, you have all the vertices of the feasible region.
(,)
(,)
(,)
(,)
The extrema of the function occur at these vertices.
(,) :
(,):
(,):
(,):

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