ECON 100B Lecture Notes - Lecture 5: Opportunity Cost, Profit Maximization, Historical Cost

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26 Mar 2017
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Homogeneous of degree 19/24: since 19/24 < 1, f satisfies decrease returns to scale. Ap and mp depends on factor ratios only, not on scale. Ap l (l, k (bar) ) = f (l, k (bar) ) / l. = f (l, k (bar) ) / l. = f ( l, k (bar) ) / l (by constant return to scale) = f (l / l, k (bar) / l) / (l/l) Mp l (l, k (bar) ) = f (l, k (bar) ) / l. = (l f (1, k (bar) / l) / l (by constant return to scale) = f (1, k (bar) / l) + l f (1, k (bar) ) / k * [(k (bar) ) / l] / l. [(k (bar) ) / l] / l = 0 where k (bar) / l = constant. Mp l (l, k) l + mp k (l, k) k = f (l,k)

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