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mskyeg

  • 2 years ago

What point in the feasible region maximizes the objective function?

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  1. mskyeg
    • 2 years ago
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  2. CliffSedge
    • 2 years ago
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    Graph all your constraints first.

  3. mskyeg
    • 2 years ago
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    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
    • 2 years ago
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    i answered this earlier look for it.

  5. CliffSedge
    • 2 years ago
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    |dw:1350786019077:dw|

  6. CliffSedge
    • 2 years ago
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    I see four vertices.

  7. mskyeg
    • 2 years ago
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    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
    • 2 years ago
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    I mean how do I find the exact coordinates of the other two

  9. CliffSedge
    • 2 years ago
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    |dw:1350786367222:dw|

  10. mskyeg
    • 2 years ago
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    are both the x and the 1 divided by 3 or just the x

  11. mskyeg
    • 2 years ago
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    if just the x then x=4 but what about the y

  12. CliffSedge
    • 2 years ago
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    \[\large equation \space 1. \space -x+3\ge y\] \[\large equation \space 2. \space y \le \frac{1}{3}x+1\] \[\large y=y \rightarrow -x+3 = \frac{1}{3}x+1\]

  13. mskyeg
    • 2 years ago
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    im confused i thought i was supposed to like combine them or something i still dont understand how to get the coordinates

  14. CliffSedge
    • 2 years ago
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    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
    • 2 years ago
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    how do i solve for y when its not in the equations when they are set equal to eachother

  16. CliffSedge
    • 2 years ago
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    Find x first, then use either equation to get y.

  17. mskyeg
    • 2 years ago
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    so the coordinate is (4,-1)????when looking at the graph that doesn't make sense

  18. CliffSedge
    • 2 years ago
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    How did you get x=4?

  19. mskyeg
    • 2 years ago
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    3-x=1+x/3 9-x=1+x 9=1+2x 8=2x x=4

  20. CliffSedge
    • 2 years ago
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    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
    • 2 years ago
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    so y=3/2 too right?

  22. CliffSedge
    • 2 years ago
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    Yep.

  23. mskyeg
    • 2 years ago
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    what about the point between 3 and 4 on the x axis

  24. CliffSedge
    • 2 years ago
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    What point between 3 and 4? *confused*

  25. mskyeg
    • 2 years ago
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    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
    • 2 years ago
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    |dw:1350790215202:dw|

  27. CliffSedge
    • 2 years ago
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    The x-intercept of y=-x+3 is (3,0).

  28. mskyeg
    • 2 years ago
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    oh ok i guess when I drew the graph i didn't do it acuratly

  29. mskyeg
    • 2 years ago
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    thanks so much for your time and help:)

  30. CliffSedge
    • 2 years ago
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    You're welcome. Take care.

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