Question

You are given the production function: Q(K,L)=10KαLβ

What is the average product of labour, holding capital fixed at K? Simplify fully

Answer 1

Production function: 

Q(K,L) = 10K^αL^β

 

Average product of Labor (APL) is the total production per unit of labor. 

APL = Total Product/labor

APL = 10K^αL^β/L

APL = 10K^αL^β-1

Thus the average product of labor for the given production function with capital fixed is 10K^αL^β-1