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    Linear Programming : Graphical Method

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    Solving Linear Programming Problems Graphically. See attached file for full problem description.
    #4 and 5 only.

    4. Solve the following linear programming problem:
    Minimize g = 22x + 17y
    8x + 5y ≥ 100
    12x + 25y ≥ 360
    x ≥ 0, y ≥ 0
    5. A company manufactures backyard swing sets of two different sizes. The larger
    requires 5 hours of labor to complete, the smaller requires 2 hours, and there are
    700 hours of labor available each week. The packing department can pack at
    most 185 swing sets per week. If the profit is $100 on each larger set and $50 on
    each smaller set, how many of each should be produced to yield maximum profit?
    What is the maximum profit?

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    Solution Summary

    LP problems are solved by using a graphical method. The solution is detailed and well presented.