## mskyeg Group Title What point in the feasible region maximizes the objective function? one year ago one year ago

1. mskyeg Group Title

2. CliffSedge Group Title

3. mskyeg Group Title

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 Group Title

i answered this earlier look for it.

5. CliffSedge Group Title

|dw:1350786019077:dw|

6. CliffSedge Group Title

I see four vertices.

7. mskyeg Group Title

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 Group Title

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

9. CliffSedge Group Title

|dw:1350786367222:dw|

10. mskyeg Group Title

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

11. mskyeg Group Title

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

12. CliffSedge Group Title

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

13. mskyeg Group Title

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

14. CliffSedge Group Title

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 Group Title

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

16. CliffSedge Group Title

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

17. mskyeg Group Title

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

18. CliffSedge Group Title

How did you get x=4?

19. mskyeg Group Title

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

20. CliffSedge Group Title

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 Group Title

so y=3/2 too right?

22. CliffSedge Group Title

Yep.

23. mskyeg Group Title

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

24. CliffSedge Group Title

What point between 3 and 4? *confused*

25. mskyeg Group Title

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 Group Title

|dw:1350790215202:dw|

27. CliffSedge Group Title

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

28. mskyeg Group Title

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

29. mskyeg Group Title

thanks so much for your time and help:)

30. CliffSedge Group Title

You're welcome. Take care.