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Math Help - feasible region question, help please

  1. #1
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    Post feasible region question, help please

    The feasible region of a maximization problem shown is dertermined by
    12x+5y<=180
    5x+4y<=98
    x^3 0, y=>0
    which of the following objective functions has its maximum value at (15,0)? My answer is 9x+6y from a list of possible answers, is this right. If not please telll how to set this one up or graph. thanks so much for any help given.

    a.z=25x+25y
    b.z=9x+6y
    c.z=20x+10y
    d.z=45x+15y
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  2. #2
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    First did you graph it?
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  3. #3
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    yes

    Yes I have the graph for home work. With all the points on the graph shown. From there I'm stuck. Thanks for looking at my problem, I just need someone to show me how to get the info from the graph. I know it has to be some what easy to do, as I have the graph in the text book.
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  4. #4
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    Quote Originally Posted by kwtolley
    Yes I have the graph for home work. With all the points on the graph shown. From there I'm stuck. Thanks for looking at my problem, I just need someone to show me how to get the info from the graph. I know it has to be some what easy to do, as I have the graph in the text book.
    You have 3 points on that graph.

    Substitute these values into each of the four options you have. Now find now that has (15,0) as a maximum point. You do that by looking at the other two points on the graph
    (they are (0,24.5) and (10,12)) and confirming they give smaller values.
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