SOLUTION: Maximize: C = 3x + 4y Constraints: x + y ≤ 10 – x + y ≤ 5 2x + 4y ≤ 32

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Question 926184: Maximize:
C = 3x + 4y
Constraints:
x + y ≤ 10
– x + y ≤ 5
2x + 4y ≤ 32
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
First, map out the feasible region.


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Find the vertices of the intersection points.




Then,


(2,7)
and



Then,


(4,6)
Also include,
(0,5) and (10,0).
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Now check the function using these points:
(2,7)

(4,6)

(0,5)

(10,0)

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The maximum occurs at (2,7)
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