5) Solow Model Growing Population problem: A country's production function is Y = K2L2, capital depreciates at the rate of 6% (8 = 0.06) each year, the population grows at the rate of 2% (n = 0.02) each year, and the savings rate is 36% (o = 0.36). Solve for the steady-state values of capital per worker (k), output per worker (y), and consumption per worker (c): %3D 1/2 %3D k* = y* = c* : %3D If this economy has achieved its steady-state equilibrium with a labor force (L) of workers in year 1, how much is the aggregate capital stock (K) and aggregate output (Y) in year 1? Calculate the labor force, aggregate capital stock, and aggregate output in year 2. Year 1: L= 80 K = Y = Year 2: L = K = Y% =

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter17: Production And Growth
Section: Chapter Questions
Problem 1CQQ
Question

question 5 

5) Solow Model Growing Population problem: A country's production function is Y =
K2L2, capital depreciates at the rate of 6% (8 = 0.06) each year, the population grows at
the rate of 2% (n = 0.02) each year, and the savings rate is 36% (o = 0.36). Solve for the
steady-state values of capital per worker (k), output per worker (y), and consumption per
worker (c):
%3D
1/2
%3D
k* =
y* =
c* :
%3D
If this economy has achieved its steady-state equilibrium with a labor force (L) of
workers in year 1, how much is the aggregate capital stock (K) and aggregate output (Y) in
year 1? Calculate the labor force, aggregate capital stock, and aggregate output in year 2.
Year 1: L= 80
K =
Y =
Year 2: L =
K =
Y% =
Transcribed Image Text:5) Solow Model Growing Population problem: A country's production function is Y = K2L2, capital depreciates at the rate of 6% (8 = 0.06) each year, the population grows at the rate of 2% (n = 0.02) each year, and the savings rate is 36% (o = 0.36). Solve for the steady-state values of capital per worker (k), output per worker (y), and consumption per worker (c): %3D 1/2 %3D k* = y* = c* : %3D If this economy has achieved its steady-state equilibrium with a labor force (L) of workers in year 1, how much is the aggregate capital stock (K) and aggregate output (Y) in year 1? Calculate the labor force, aggregate capital stock, and aggregate output in year 2. Year 1: L= 80 K = Y = Year 2: L = K = Y% =
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