Suppose the production function is given by Q(L,K) = L

Question

Suppose the production function is given by Q(L,K) = L

4
3
K
4
1
. Assuming capital is fixed,
find APL and MPL

Answer 1

To find the Average Product of Labor (APL), we divide the total product (Q) by the amount of labor (L).

APL = Q / L = L^4 / L = L^3

To find the Marginal Product of Labor (MPL), we take the derivative of the production function with respect to labor (L) while holding capital (K) constant.

MPL = ∂Q / ∂L = 4L^3

Therefore, APL = L^3 and MPL = 4L^3.