SOLUTION: Maximize M=5x+y subject to x≥−5, y≥−2, 7x−7y≤0, 7x+10y≤85.

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Maximize M=5x+y subject to x≥−5, y≥−2, 7x−7y≤0, 7x+10y≤85.       Log On


   

Question 1069493: Maximize M=5x+y subject to x≥−5, y≥−2, 7x−7y≤0, 7x+10y≤85.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Plot the feasible region.
.
.
.
.
.
.
.
Check the function at the vertices,
(-5,-2):M=5%28-5%29%2B%28-2%29=-25-2=-27
(-5,12):M=5%28-5%29%2B%2812%29=-25%2B12=-13
(5,5):M=5%285%29%2B5=25%2B5=30
(-2,-2):M=5%28-2%29%2B%28-2%29=-10-2=-12