If AP = 12L^2 + 5L, find the total output function and the marginal output function.

Answer 1

If AP stands for average product, which is usually APL or average product of labor, you can find the total output function by multiplying the average by quantity, like so:

APL = Output/Q

Total Product of labor or TPL = APL* Q

In this case:

TPL=12L²Q + 5LQ

Next to find MPL, just take the partial derivative with respect to Q of the total product function to find:

MPL = 12L² + 5L

In this function, APL and MPL are the same.