# Degree of homogeneity of the production function

• Aug 14th 2011, 08:27 AM
HelenC
Degree of homogeneity of the production function
Hi please help; how do you work out the degree of homogeniety of the following production function

q = l^1/2 k + k^3/2
• Aug 14th 2011, 08:48 AM
Siron
Re: Degree of homogeneity of the production function
This is what I think:

This polynomial in 2 variables ( $l,k$) is homogenous of degree $\frac{3}{2}$ because if we add the exponents of the variables of each term we get for the first term $1+\frac{1}{2}=\frac{3}{2}$ and also $\frac{3}{2}$ for the second term.
• Aug 14th 2011, 09:18 AM
HelenC
Re: Degree of homogeneity of the production function
Thanks got it.
Helen