# 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 Preview

Here it is given that

Q = 6L2 R2 ï€ .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 ï€ .10L3 (10)3 = 600L2 ï€ 100L3

Thus, the marginal product function (MPL) for input L is given by,

= 1200L ï€ 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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