3) There are two countries, Anihc (country A) and Bapan (country B), with the same production function f (k) = 5k0.5. However, country A has saving rates of 0.2, depreciation rate of 0.2 and population growth of 0.2; while country B has saving rates of 0.1, depreciation rate of 0.15 and population growth of 0.05. Using the Solow model: a. Find the steady state capital-labor ratio for each country. b. Find the steady state output per worker, and the steady state consumption per worker for each country. c. Which country produces the most per capita? Which country consumes the most per capita?

Principles of Economics (MindTap Course List)
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ISBN:9781305585126
Author:N. Gregory Mankiw
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Chapter25: Production And Growth
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3) There are two countries, Anihc (country A) and Bapan (country B), with the same production
function f (k) = 5k0.5. However, country A has saving rates of 0.2, depreciation rate of 0.2 and
population growth of 0.2; while country B has saving rates of 0.1, depreciation rate of 0.15 and
population growth of 0.05. Using the Solow model:
a. Find the steady state capital-labor ratio for each country.
b. Find the steady state output per worker, and the steady state consumption per worker
for each country.
c. Which country produces the most per capita? Which country consumes the most per
capita?
Transcribed Image Text:3) There are two countries, Anihc (country A) and Bapan (country B), with the same production function f (k) = 5k0.5. However, country A has saving rates of 0.2, depreciation rate of 0.2 and population growth of 0.2; while country B has saving rates of 0.1, depreciation rate of 0.15 and population growth of 0.05. Using the Solow model: a. Find the steady state capital-labor ratio for each country. b. Find the steady state output per worker, and the steady state consumption per worker for each country. c. Which country produces the most per capita? Which country consumes the most per capita?
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