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Find the marginal product of capital

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Reference no: EM132361147

Consider the following production function y = F(K, L) = TKαL β where K and L represent capital and labor inputs respectively. Denote by s the capital-labor ratio (s = K L ). T captures technological progress and is assumed constant here. α and β are two parameters.

(a) Under what condition(s) does the function exhibit CRS? DRS? IRS?

(b) Find the marginal product of capital (MPk) and the marginal product of labor (MPL).

(c) Assume that β = 1-α. Rewrite the production function in terms of the capital-labor ratio (s).

(d) Assume that β = 1-α. Show that Euler's theorem holds for this production function

Reference no: EM132361147

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