|
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
|
|
|
| |
