# Thread: Degree of homogeneity of the production function

1. ## 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

2. ## 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.

3. ## Re: Degree of homogeneity of the production function

Thanks got it.
Helen