(a) Solve the Pareto optimal for this economy. (.. (b) Solve the competitive equilibrium for this economy. (

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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In(e)
Suppose that the representative household's utility function is given by U(c, l) = In(c) + n,
Where c is consumption, l is leisure, and 1/8 e R+ is a parameter that determines how much the
representative household values consumption versus leisure. Let h be the total time endowment
and normalize it to 1, w the wage, a the dividend payments, and T is the lump-sum tax.
A representative firm has the following technology: Y = zF(K,N) = KªN!-a, where K is the
given capital stock (the representative firm owns K but no market value if the firm sells it), N is
labor demand by paying competitive market wage rate w, z is total factor productivity (TFP) and
is normalized to z = 1, and a E (0, 1) Let's further assume the production function be a continuous
concave function. Without loss of generality, let's assume the output good price equals to 1.
Let assume T = 0 and answer the following questions
(a) Solve the Pareto optimal for this economy. (v .
(b) Solve the competitive equilibrium for this economy.
Transcribed Image Text:In(e) Suppose that the representative household's utility function is given by U(c, l) = In(c) + n, Where c is consumption, l is leisure, and 1/8 e R+ is a parameter that determines how much the representative household values consumption versus leisure. Let h be the total time endowment and normalize it to 1, w the wage, a the dividend payments, and T is the lump-sum tax. A representative firm has the following technology: Y = zF(K,N) = KªN!-a, where K is the given capital stock (the representative firm owns K but no market value if the firm sells it), N is labor demand by paying competitive market wage rate w, z is total factor productivity (TFP) and is normalized to z = 1, and a E (0, 1) Let's further assume the production function be a continuous concave function. Without loss of generality, let's assume the output good price equals to 1. Let assume T = 0 and answer the following questions (a) Solve the Pareto optimal for this economy. (v . (b) Solve the competitive equilibrium for this economy.
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