Question 261234: Maximize Z=3X+Y
12X+14Y<85
3X+2Y<18
Y<4
Answer by drk(1908)   (Show Source):
You can put this solution on YOUR website! By graphing, we get the following coordinates that create the feasible region:
(0,4), (6,0), (29/12,4), and (4.555, 2.166)
we now apply our profit function to each coordinate and get
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(0,4) ; Z=3X+Y -> 3*0 + 4 = 4
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(6,0) ; Z=3X+Y -> 3*6 + 0 = 18
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(29/12, 4) ; Z=3X+Y -> 3*(29/12) + 4 = 11.25
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(4.555, 2.166) ; Z=3X+Y -> 3*4.555 + 2.166 -> 15.831
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It appears we have a max at (6,0)
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