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    slope of objective function

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    In a linear programming problem, the binding constraints for the optimal solution are

    5X + 3Y < 30
    2X + 5Y < 20.

    Fill in the blanks in the following sentence:

    As long as the slope of the objective function stays between _______ and _______, the current optimal solution point will remain optimal.

    1/3 and 3/5
    -5/3 and -4/5
    -8/3 and -2/5
    -5/3 and -2/.

    © BrainMass Inc. brainmass.com March 4, 2021, 8:03 pm ad1c9bdddf
    https://brainmass.com/math/linear-programming/slope-objective-function-141534

    Solution Preview

    (1) The slope of the constraint 5x + 3y < 30 is
    write it in slope -intercept form: 3y < -5x + 30
    y < (- 5/3) x + 10
    so the ...

    Solution Summary

    The solution explains how to find the range of slope of the objective function such that the current optimal solution point will remain optimal.

    $2.49

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