(b) Time is continuous and the production function of the economy is given by Yt = At( Kt )ª( N₁ ) ¹−¤ Productivity is now given by A₁ = Y where & € (0,1) and (þ + a) < 1. Population grows at a constant rate n as in part (a). (i) What is the intuition behind A = ??? (ii) Find an expression for the growth rate of output per capita (Y₁ / N₁). When is the growth rate of output per capita equal to zero?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter8: Cost Analysis
Section: Chapter Questions
Problem 9E
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(b) Time is continuous and the production function of the economy is given by
Y; = A;( K; )ª( N¿ )1-a
Productivity is now given by A, = Y,º where o E (0,1) and (o + a) < 1. Population grows
at a constant rate n as in part (a).
(i) What is the intuition behind A = Y,°?
(ii) Find an expression for the growth rate of output per capita (Yt / N;). When is the growth
rate of output per capita equal to zero?
Transcribed Image Text:(b) Time is continuous and the production function of the economy is given by Y; = A;( K; )ª( N¿ )1-a Productivity is now given by A, = Y,º where o E (0,1) and (o + a) < 1. Population grows at a constant rate n as in part (a). (i) What is the intuition behind A = Y,°? (ii) Find an expression for the growth rate of output per capita (Yt / N;). When is the growth rate of output per capita equal to zero?
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