SOLUTION: Find the maximum of the objective function, f, subject to the constraints f=15x +25y {3x +4y > 60 x + 8y > 40 11x + 28y

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Question 1086843: Find the maximum of the objective function, f, subject to the constraints f=15x +25y {3x +4y > 60
x + 8y > 40
11x + 28y < 380
x>0, y>0
The greater and less than signs have the or equal to underscore. If possible could you show me the steps in detail because I am confused beyond belief.
Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
First graph each inequality.
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Then overlay them to define the feasible region,
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Take out the inequality and just graph the boundary lines to make it more visually appealing and understandable.
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Find the vertices using the intersection of the boundary lines.
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Test the objective function at each of the vertices to find the maximum value,
I'll do one.
You do the others the same way.
(4,12):
Do the other two vertices the same way and see what the max value is and where it occurs.

SOLUTION: Find the maximum of the objective function, f, subject to the constraints f=15x +25y {3x +4y > 60 x + 8y > 40 11x + 28y < 380 x>0, y>0 The greater and less