SOLUTION: Using the following system of inequalities find the maximum value of f(x,y) = 3x + 1y x≥0 y≥0 3x+2y≤18 6x+7y≤42

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Question 977272: Using the following system of inequalities find the maximum value of f(x,y) = 3x + 1y
x≥0
y≥0
3x+2y≤18
6x+7y≤42
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the feasible region.
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The extrema occur at the vertices.
(0,0) : f=3%280%29%2B1%280%29=0
(0,9) : f=3%280%29%2B1%289%29=9
(7,0) : f=3%287%29%2B1%280%29=highlight%2821%29
(14/3,2) : f=3%2814%2F3%29%2B1%282%29=16