## mskyeg 2 years ago What point in the feasible region maximizes the objective function?

1. mskyeg

2. CliffSedge

3. mskyeg

I did that but then only two of them were on an exact point I need to know how to find the other two

4. kmalone99

i answered this earlier look for it.

5. CliffSedge

|dw:1350786019077:dw|

6. CliffSedge

I see four vertices.

7. mskyeg

ya I got that part but as you can see only two of the vertices are on specific points how do I find the exact points of the other two

8. mskyeg

I mean how do I find the exact coordinates of the other two

9. CliffSedge

|dw:1350786367222:dw|

10. mskyeg

are both the x and the 1 divided by 3 or just the x

11. mskyeg

if just the x then x=4 but what about the y

12. CliffSedge

$\large equation \space 1. \space -x+3\ge y$ $\large equation \space 2. \space y \le \frac{1}{3}x+1$ $\large y=y \rightarrow -x+3 = \frac{1}{3}x+1$

13. mskyeg

im confused i thought i was supposed to like combine them or something i still dont understand how to get the coordinates

14. CliffSedge

If the lines intersect, then they have the same (x,y) coordinates, so you can set the equations equal to each other and solve for x and y.

15. mskyeg

how do i solve for y when its not in the equations when they are set equal to eachother

16. CliffSedge

Find x first, then use either equation to get y.

17. mskyeg

so the coordinate is (4,-1)????when looking at the graph that doesn't make sense

18. CliffSedge

How did you get x=4?

19. mskyeg

3-x=1+x/3 9-x=1+x 9=1+2x 8=2x x=4

20. CliffSedge

If you're going to multiply by 3 to clear your fractions, you have to multiply everything by 3. 3-x=1+x/3 9-3x=3+x 9-3=x +3x 6=4x x=3/2

21. mskyeg

so y=3/2 too right?

22. CliffSedge

Yep.

23. mskyeg

what about the point between 3 and 4 on the x axis

24. CliffSedge

What point between 3 and 4? *confused*

25. mskyeg

i need the find the coordinates of all 4 poinys so far there are only 3 (0,0) (0,1) (3/2,3/2)

26. CliffSedge

|dw:1350790215202:dw|

27. CliffSedge

The x-intercept of y=-x+3 is (3,0).

28. mskyeg

oh ok i guess when I drew the graph i didn't do it acuratly

29. mskyeg

thanks so much for your time and help:)

30. CliffSedge

You're welcome. Take care.