SOLUTION: Maximize p = x − 7y subject to 2x + y ≥ 8 y ≤ 5 x ≥ 0, y ≥ 0 I know P= unbounded but what does x and y equal? I have already tried 1.5 and 5 a

Algebra ->  Test -> SOLUTION: Maximize p = x − 7y subject to 2x + y ≥ 8 y ≤ 5 x ≥ 0, y ≥ 0 I know P= unbounded but what does x and y equal? I have already tried 1.5 and 5 a      Log On


   



Question 1112502: Maximize p = x − 7y subject to
2x + y ≥ 8
y ≤ 5
x ≥ 0, y ≥ 0
I know P= unbounded but what does x and y equal? I have already tried 1.5 and 5 and it was incorrect.

Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.

graph%28+330%2C+330%2C+-3%2C+10%2C+-3.5%2C+10%2C%0D%0A++++++++++8-2x%2C+5%0D%0A%29


Plots 2x + y = 8 (red)  and  y = 4 (green)



Your feasibility domain is the area of the first quadrant above the red line and below the green line.


It goes infinitely as x ----> infinity,  so  p = x - 7y  grows  infinitely: there is NO maximum.