In a Solow model with technological change, if population grows at a 2 percent rate and the efficiency of labor grows at a -3 percent rate, then in the steady state, output per worker grows at a percent rate, and total output grows at a not include "%") percent rate. (Enter a number for each blank. Please do

In a Solow model with technological change, if population grows at a 2 percent rate and the efficiency of labor grows at a -3 percent rate, then in the steady state, output per worker grows at a percent rate, and total output grows at a not include "%") percent rate. (Enter a number for each blank. Please do

Essentials of Economics (MindTap Course List)

8th Edition

ISBN:9781337091992

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter17: Production And Growth

Section17.1: Economic Growth Around The World

Problem 1QQ

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Please no written by hand and graph Consider a small world that consists of two different countries, a developed and a developing country. In both countries, assume that the production function takes the following form: Y = F (K, LE) = K¹/4 (LE) 3/4, where Y is output, K is capital stock, L is total employment and E is labour augmenting technology. (a) Does this production function exhibit constant returns to scale in K and L? Explain. (b) Express the above production function in its intensive form (i.e., output per-effective worker y as a function of capital per effective worker k). (c) Solve for the steady-state value of y as a function of saving rate s, population growth rate n, technological progress g, and capital depreciation rate 6. (d) The developed country has a savings rate of 30% and a population growth rate of 2% per year. Meanwhile, the developing country has a savings rate of 15% and population growth rate of 5% a year. Technology evolves at the rate of 8% and 2% in…
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Assume that a country's production function is Y = K1/2L1/2 and there is no population growthor technological change.a. What is the per-worker production function y = f (k)?b. Assume that the country possesses 40,000 units of capital and 10,000 units of labor. What isY? What is labor productivity computed from the per-worker production function? Is thisvalue the same as labor productivity computed from the original production function?c. Assume that 10 percent of capital depreciates each year. What gross saving rate isnecessary to make the given capital–labor ratio the steady-state capital–labor ratio? (Hint:In a steady state with no population growth or technological change, the saving ratemultiplied by per-worker output must equal the depreciation rate multiplied by the capital–labor ratio.)d. If the saving rate equals the steady-state level, what is consumption per worker? Only D, other option answered
Assume that a country's production function is Y = K1/2L1/2 and there is no population growthor technological change.a. What is the per-worker production function y = f (k)?b. Assume that the country possesses 40,000 units of capital and 10,000 units of labor. What isY? What is labor productivity computed from the per-worker production function? Is thisvalue the same as labor productivity computed from the original production function?c. Assume that 10 percent of capital depreciates each year. What gross saving rate isnecessary to make the given capital–labor ratio the steady-state capital–labor ratio? (Hint:In a steady state with no population growth or technological change, the saving ratemultiplied by per-worker output must equal the depreciation rate multiplied by the capital–labor ratio.)d. If the saving rate equals the steady-state level, what is consumption per worker?
Y - K"(LE) The economy has a capital share of 0.20, a saving rate of 45 percent, a depreciation rate of 3.75 percent, a rate of population growth of 5.00 percent, and a rate of labor-augmenting technological change of 3.5 percent. It is in steady state. b. Solve for capital per effective worker (k"), output per elffective worker (y"), and the marginal product of capital. k' - y* = marginal product of capital =
How can we measure growth over the very long run? Te poorest countries in the world have a per capita income of about $600 today. We can reason-ably assume that it is nearly impossible to live on an income below half this level (below $300). Per capita income in the United States in 2015 was about$51,000. With this information in mind, consider the following questions.(a) For how long is it possible that per capita income in the United Stateshas been growing at an average annual rate of 2% per year?(b) Some economists have argued that growth rates are mismeasured. Forexample, it may be difcult to compare per capita income today with percapita income a century ago when so many of the goods we can buy todaywere not available at any price then. Suppose the true growth rate in thepast century was 3% per year rather than 2%. What would the level of percapita income in 1800 have been in this case? Is this answer plausible?
An economy's production function as follows Y = 8 (K)¹/2 (EL)¹/2 If depreciation rate is 10%, population growth rate is 4%, tech progress grows 6%, and saving rate is 20%. a. b. C. d. e. f. Write production function in term of per effective worker variables. Find steady state capital per effective worker, output per effective worker, consumption per effective worker, investment per effective worker. Find growth rate of capital per worker and output per worker at steady state. Find growth rate of capital stock and total output at steady state. Propose policies to encourage long run growth of total output and living standard? Draw relevant graph for the above questions.
Assume a Solow growth model economy with no exogenous technological change is initially at a steady state. Suppose there is a permanent decrease in the population growth rate, say on account of the spread of AIDS a major current problem in Sub-Sahara Africa. graphically the path of the economy's capital and output per capita over Show time following this event.
I am having a problem with these four problems webdav/pid-1221589-dt-content-rid-8618514_1/courses/1678.201780/Assign2.pdf + Automatic Zoom : 19. Technological progress helps increase the productivity of labor, defined as the number of units of output produced per hour of labor. A rise in the productivity of labor in the production process, ceteris paribus, will cause A) the demand for the output to increase. B) the demand for the output to decrease. C) the supply of the output to increase. D) the supply of the output to decrease. E) None of the above is correct. Q Search 20. An economic recession with a decline in household incomes will negatively impact all retail businesses. A) True B) False 21. If we assume that the current equilibrium wage for low-skilled labor is $8 per hour and the minimum wage is increased from $5.75 to $7.25 per hour, then A) unemployment among low-skilled workers will increase. B) unemployment among low-skilled workers will remain unaffected. C) unemployment…
Physical Capital Labour Force Output Productivity Year (Tools per worker) (Workers) (Gaggles of gop) (Gaggles per worker) 2014 11 30 1,800 60 2054 16 30 2,160 72 Gribinez inward-oriented growth Ph ir Force Productivity Output Year (Тос rkers) (Gaggles of gop) (Gaggles per worker) diminishing returns 30 2014 900 30 constant returns 2054 30 1,620 54 increasing returns Initially, the nu vas higher in Sporon than in Gribinez. From 2014 to 2054, capital per worker rises by 5 units in each country. the brain drain The 5-unit chai auses productivity in Sporon to rise by a smaller ▼ amount than productivity in Gribinez. This illustrates the concept of , which makes it for countries with low output to catch up to those with higher output.
Sweden and Norway are two neighboring countries in Northern Europe with similar savings rates, population growth rates, technology growth rates, and depreciation rates. However, Norway differs from Sweden in that Norway has large deposits of oil all along its coast, which makes it very easy for Norway to produce large quantities of crude oil every year with relatively little capital and labor. a) Draw a Solow Growth diagram that compares Sweden and Norway. What is the main difference between the two countries in the diagram? b) According to the Solow Growth Model, which country would have a higher standard of living in the long run? Which country would have a higher growth rate of its standard of living in the long run? c) Suppose now that, in the long run, oil becomes obsolete and has no value because it is uneconomical relative to renewable energy sources like solar and wind power. What would this do to your Solow Growth diagram in part a? How would the standard of living in Norway…