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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

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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