Suppose th at a country has a produ ction function, where Lis labour, K is capital and A is total factor produ ctivity, as follows: Y = F(K, L) = AK0.25 _0.75 a) Write the produ ction function in "intensive form" (output per worker as a fun ction of capital per worker). b) Suppose, in itially, that A = 4 andits growth rate is zero. The countryhas a population growth of 1% per year (0.01) and a depreciation rate of 10% (0.10). If the county saves 30% of nation al in come, find the steady state levels of capital per worker, as well as con sumption andincome ner worker

Suppose th at a country has a produ ction function, where Lis labour, K is capital and A is total factor produ ctivity, as follows: Y = F(K, L) = AK0.25 _0.75 a) Write the produ ction function in "intensive form" (output per worker as a fun ction of capital per worker). b) Suppose, in itially, that A = 4 andits growth rate is zero. The countryhas a population growth of 1% per year (0.01) and a depreciation rate of 10% (0.10). If the county saves 30% of nation al in come, find the steady state levels of capital per worker, as well as con sumption andincome ner worker

Exploring Economics

8th Edition

ISBN:9781544336329

Author:Robert L. Sexton

Publisher:Robert L. Sexton

Chapter20: Economic Growth In The Global Economy

Section: Chapter Questions

Problem 7P

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Ma1. two countries have the same effectiveness of labor production function Y = F (K,LE) = K^0.5 (LE)^0.5 a. what is the per effective worker production function for these countries? b . what is the steady state value of y as a function of s, n, g, and δ only? c. countries A and b are identical in every way except rate of savings. countries A has a savings rate of 17 percent and country B has a savings rate of 10 percent. for both countries the rate of technical progress is g = 0.04 the birth rate is n = 0.05 and depreciation δ = 0.04. find the steady state value of y for each country. compare and comment
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Consider the economies of Hermes and Gribinez, both of which produce gaggles of gop using only tools and workers. Suppose that, during the course of 10 years, the level of physical capital per worker rises by 5 tools per worker in each economy, but the size of each labor force remains the same. Complete the following tables by entering productivity (in terms of output per worker) for each economy in 2016 and 2026. **THE TABLE IS ATTACHED** Initially, the number of tools per worker was higher in Hermes than in Gribinez. From 2016 to 2026, capital per worker rises by 5 units in each country. The 5-unit change in capital per worker causes productivity in Hermes to rise by a _________ (LARGER/SMALLER) amount than productivity in Gribinez. This illustrates the _______ (CATCH-UP/NATURAL RESOURCES/TECHNOLOGY/HUMAN CAPITAL) effect. THANK YOU FOR THE HELP
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