Consider the following quadratic (potential cost) function: c(w, y) = [/₁1wi +√22w² +2/12w1/²w2/2]y, where ₁,W2 and y are input prices and output, respectively, and a, 711, 722; 12 are parameters. Which restrictions hould the parameters satisfy in order for this function to be: (i) homogeneous of degree one in prices (ii) prigon?

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Consider the following quadratic (potential cost) function

Consider the following quadratic (potential cost) function: c(w, y) = [V11wf+722w§ +212wi²w2]y, where
a/2a/21
w1,W2 and y are input prices and output, respectively, and a, Y11; Y22; Y12 are parameters. Which restrictions
should the parameters satisfy in order for this function to be: (i) homogeneous of degree one in prices (ii)
increasing in prices?
Transcribed Image Text:Consider the following quadratic (potential cost) function: c(w, y) = [V11wf+722w§ +212wi²w2]y, where a/2a/21 w1,W2 and y are input prices and output, respectively, and a, Y11; Y22; Y12 are parameters. Which restrictions should the parameters satisfy in order for this function to be: (i) homogeneous of degree one in prices (ii) increasing in prices?
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