SOLUTION: Maximize 3x + 2y Subject to the constraints 5x + 3y <= 15 3x + 4y <= 12 x,y >= 0

Question 1114893: Maximize 3x + 2y
Subject to the constraints
5x + 3y <= 15
3x + 4y <= 12
x,y >= 0
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
using the desmos.com calcculator, graph the opposite of these inequalities.

the area of the graph that is not shaded is your region of feasibility.

your maximum value for 3x + 2y will be at one of corner points of your region of feasibility.

the graph is shown below:

$$$

at (0,3), 3x + 2y = 3*0 + 2*3 = 6
at (2.182,1.364) 3x + 2y = 3*2.182 + 2*1.364 = 9.274
at (3,0), 3x + 2y = 3*3 + 2*0 = 9

your maximum solution is at (2.182,1.364).

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