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calculus word problem

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A company has a Cobb-Douglas production function f(x,y)= 20x^0.33y0.67 where x is the utilization of labor and y is the utilization of capital. Determine the number of units of product produced when 1728 units of labor and 27,000 units of capital are used.

  • calculus word problem -

    20 (1728)^.33 (27000)^.67

    I can do this with my calculator

    20 (11.7)(931) = 217,886

  • calculus word problem -

    or use logs

    .33 log 1728 = .33 * 3.24 = 1.0684
    10^1.0684 = 11.7

    etc

  • calculus word problem -

    Thank you very much

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