SOLUTION: LINEAR PROGRAMMING The maximum value of z = 20x + 8y subject to 3x + y <= 8 2x + 5y <= 18 x => 0, y <=0 is

Algebra ->  Linear-equations -> SOLUTION: LINEAR PROGRAMMING The maximum value of z = 20x + 8y subject to 3x + y <= 8 2x + 5y <= 18 x => 0, y <=0 is       Log On


   

Question 64672: LINEAR PROGRAMMING
The maximum value of z = 20x + 8y subject to

3x + y <= 8
2x + 5y <= 18
x => 0, y <=0 is
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The maximum value of z = 20x + 8y subject to
3x + y <= 8
2x + 5y <= 18
x => 0, y <=0 is
----------
Graph:
y<=-3x+8
Graph:
y<=(-2/5)x+(18/5)
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Find the intersection point of the equations and their x and y intercepts
-3x+8=(-2/3)x+18/5
(-7/3)x=18/5-40/5
(-7/3)x=(-22/5)
x=66/35=1.8857
y=(-3)(-66/35)=198/35=5.657
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graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-3x%2B8%2C%28-2%2F5%29x%2B%2818%2F5%29%29
The important points are (0,0),(0.18/5),(8/3,0),(66/35,198,35)
Substitute those values into the "z" formula and see which gives
you the greatest value for z.
Cheers,
Stan H.