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I am studying for my Economics test and would like help on this question. Please show all work and answer the question with precision. Thank

I am studying for my Economics test and would like help on this question. Please show all work and answer the question with precision. Thank you :)

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1. Let the production function be as follow: q(L,K) = (L05 + K0.5)3 Also assume w=20 and r=40 a. Find out if we have increasing, decreasing or constant return to scale. b. Derive the long-run cost function. TC(q) c. Derive the average cost curve. Is it increasing or decreasing or constant in

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