Explore BrainMass
Share

Explore BrainMass

    Linear Programming : Graphical Method

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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?

    © BrainMass Inc. brainmass.com October 9, 2019, 7:34 pm ad1c9bdddf
    https://brainmass.com/math/linear-programming/linear-programming-problem-graphical-method-122496

    Attachments

    Solution Summary

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

    $2.19