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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

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Solution Summary

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

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 ...

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