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    Range of optimality

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    The following linear programming problem has been solved by The Management Scientist. Use the output below to determine the range of optimality for variable X3.
    MAX 25X1+30X2+15X3

    S.T.
    1) 4X1+5X2+8X3<1200
    2) 9X1+15X2+3X3<1500
    OPTIMAL SOLUTION
    Objective Function Value = 4700.000

    Variable Value Reduced Costs
    X1 140.00 0.00
    X2 0.000 10.00
    X3 80.00 0.00

    Constraint Slack/Surplus Dual Prices
    1 0.000 1.000
    2 0.000 2.333

    OBJECTIVE COEFFICIENT RANGES
    Variable Lower Limit Current Value Upper Limit
    X1 19.286 25.000 45.000
    X2 No Lower Limit 30.000 40.000
    X3 8.333 15.000 50.000

    RIGHT HAND SIDE RANGES

    Constraint Lower Limit Current Value Upper Limit
    1 666.667 1200.000 4000.000
    2 450.000 1500.000 2700.000

    a (25,45)

    b (450,2700)

    c (15,50)

    d (8.33, 50)

    e (19.29,45)

    © BrainMass Inc. brainmass.com June 3, 2020, 9:22 pm ad1c9bdddf
    https://brainmass.com/statistics/range/range-optimality-178995

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    Correct, we can find the range for X3 by using the "OBJECTIVE COEFFICIENT RANGES"

    Variable ...

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