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Math Help - Degree of homogeneity of the production function

  1. #1
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    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
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  2. #2
    MHF Contributor Siron's Avatar
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    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.
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  3. #3
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    Re: Degree of homogeneity of the production function

    Thanks got it.
    Helen
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