SOLUTION: Maximum z = 10x1 + 9x2 subject to: x1 + x2 = 30 x1 + x2 >= 25 2x1 + x2 <= 40

Question 161668: Maximum z = 10x1 + 9x2
subject to: x1 + x2 = 30
x1 + x2 >= 25
2x1 + x2 <= 40

Answer by the_tutor2008(2) (Show Source): You can put this solution on YOUR website!
Let x=x1 and y=x2

So the equations are

z = 10x + 9y,
x+y= 30,
x+y>= 25,
2x+y<= 40

1) First plot the last three equations (you need to solve for y)

2) Find the intersections of the three equations.

3) Plug in the coordinates of the intersection into z = 10x + 9y

For example one intersection is (10,15) which means that x=10 and y=15.

The largest value of z will maximize z = 10x + 9y
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