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.Com
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(52925)   (Show Source): You can put this solution on YOUR website!
.




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.


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