Solve the following LP problem graphically

Question

MAX 2X + 7Y
Subject to:
5X + 9Y >= 90
9X + 8Y <= 144
Y <= 8
X, Y >= 0

Answer 1

plot y>=10-5/9 x
plot y<=18-9/8 x
plot y<=8
plot x=0
plot y=0
now you have an enclosed area. Test every corner with this function:
value=2x+7y
the corner with the max value is the solution.

Answer 2

or visit

http://www.zweigmedia.com/RealWorld/LPGrapher/lpg.html

and it will show you how it's done

Answer 3

I did one of these for him yesterday.

Answer 4

Oh, forgot the y<8 constraint