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    Marginal Product Function

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    Q=6L^2R^2-.10L^3R^3

    L= Labor
    Q = Output
    R=10

    find Mpl
    find the number of units of inputs (L) that maex total product function given r = 10 as well as Q

    find L and Q that maximizes MPL

    © BrainMass Inc. brainmass.com March 4, 2021, 9:21 pm ad1c9bdddf
    https://brainmass.com/economics/labour-economics/marginal-product-function-236472

    Solution Preview

    Here it is given that
    Q = 6L2 R2  .10L3 R3
    Also R is fixed at 10 units.
    Now, the total product function (TPL) for input L is given by,
    TPL = 6L2 (10)2  .10L3 (10)3 = 600L2  100L3
    Thus, the marginal product function (MPL) for input L is given by,
    = 1200L  300L2
    The number of units of input L ...

    Solution Summary

    The solution contains the determination of marginal product function (MPL) and also the determination of optimum Labor and output that maximizes MPL.

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