well do it.
graph the two lines in the first quadrant.
y = -(5/9)x + 10 must be above and right
points (0,10) and (18,0)
y = -(9/8)x + 18 must be below and left
points (0,18) and (16,0)
intersection at
(72*8/41 , -64*5/41 + 10)
which is about
(14,2)
at 0,18 --> 126
at (14,2) -> 42
so solution is at (0,18)
and is 2(0) + 7(18) = 126
Solve the following LP problem graphically
MAX 2X + 7Y
Subject to:
5X + 9Y >= 90
9X + 8Y <= 144
Y <= 8
X, Y >= 0
1 answer
0 answers