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Math Help - Solve the linear programmable problem

  1. #1
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    Solve the linear programmable problem

    Maximize
    Z=15x+15y

    Subject to; 9x+11y ≥ 180
    14x-11y ≥ 27
    x+y ≤ 43
    x,y ≥ 0

    What is the maximum value of Z?

    And

    At what corner point(s) does the maximum value of Z occur?
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  2. #2
    MHF Contributor MarkFL's Avatar
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    St. Augustine, FL.
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    Re: Solve the linear programmable problem

    You need to graph the 5 inequalities and find their common area, which is a quadrilateral. Solve the appropriate linear systems to determine the vertices, then using these coordinates you can determine which point(s) maximizes the objective function.
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