SOLUTION: Maximize z=2x+4y subject 2x+y>=4, x+y<=9, x,y>=0

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Maximize z=2x+4y subject 2x+y>=4, x+y<=9, x,y>=0      Log On


   

Question 986289: Maximize z=2x+4y subject 2x+y>=4, x+y<=9, x,y>=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
.
First graph the feasible region and find the vertices (points of intersection).
The extrema occur at the vertices so check the value of the function at those points.
(2,0): z=2%282%29%2B4%280%29=4
(9,0): z=2%289%29%2B4%280%29=18
(0,4): z=2%280%29%2B4%284%29=16
(0,9): z=2%280%29%2B4%289%29=36