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3. Given the production function f(3:1,m2] = :r'f + :33, answer the following questions: (a) Find the profit-maximizing input demand functions and the supply function.

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3. Given the production function f(3:1,m2] = :r'f + :33, answer the following questions: (a) Find the profit-maximizing input demand functions and the supply function. (b) Obtain the indirect prot function and illustrate Hotelling's Lemma. (c) What restrictions on a are required to ensure that the profit function is well-defined? Explain

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