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    Maximization and Minimization Problems in Linear Programming

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    Solve the following linear programming problems graphically:

    Maximize profit = 4X + 6Y
    Subject to: X + 2Y ? 8
    5X + 4Y ? 20
    X,Y ? 0

    Minimize cost = 24X + 15Y
    Subject to: 7X + 11Y ? 77
    16X + 4Y ? 80
    X,Y ? 0

    © BrainMass Inc. brainmass.com October 10, 2019, 4:34 am ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/maximization-and-minimization-problems-in-linear-programming-467266

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    Step by step Guide:

    Maximize profit = 4X + 6Y
    Subject to: X + 2Y ? 8
    5X + 4Y ? 20
    X,Y ? 0

    For the first constraint: X + 2Y = 8
    X + 2Y = 8
    If Y = 0, what is the value of X?
    X + 2Y = 8
    X + 2(0) = 8
    X + 0 = 8
    X = 8
    The coordinates should be stated as X, Y therefore in this case it would be (8,0).
    X + 2Y = 8
    If X = 0, what is the value of Y?
    X + 2Y = 8
    0+2Y = 8
    2Y = 8
    Y = 8/2
    Y = 4
    The coordinates would there be (0,4).

    You ...

    Solution Summary

    The solutions solves maximization and minimization problems in linear programming. Graphical presentations are attached in an spreadsheet file.

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