2. An economy has a production function:Y 3KtLt.(1)The economy has a saving rate of 24 percent, a depreciation rate of 3 percent,1 for all period (no population growth).and LtYtLt(a) What is the per-worker production function, ytf(kt)? Define ytКиLtand kt(b) Find the equation for the evolution of capital per worker in terms of ktand kt+1(c) Find the long-run growth rate of output per worker.Now the economy has the following production function:Y 3Kt(2)but savings rate, depreciation rate, and population remain the same YtLtf (kt)? Define yt(d) What is the per-worker production function, yt(e) Find the equation for the evolution of capital per worker in terms of ktand kt+1(f) Find the long-run growth rate of output per worker.(g) Explain why the economy with production function (2) explain per-sistent growth without the assumption of exogenous technologicalprogress. How does this differ from the economy with production func-tion (1)?

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ENGR.ECONOMIC ANALYSIS

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Author:NEWNAN

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Chapter1: Making Economics Decisions

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I need help with parts (f) and (g) of question 2
a. What is the engine of growth in Romer (1990)'s product variety growth theory and in the Schumpeterian growth theory?
Question 2Assume production function is given by:Y= K(1/2) L(1/2)a. Write the production function in per worker terms (y=f(k))b. Assume that the per worker level of capital in the steady state is 4, the depreciation rate is 5% per year, and population growth is 5% per year. Does this economy have “too much” or “too little” capital? How do you know? [Show your work].
In this problem, we distinguish between labor and population in the Solow growth model. A proportion of the population, a, between zero and one, works. The production function is now written as Y = A(K^1/3)[(aL)^2/3] (a) How does an increase in a from 0.3 to 0.6 change steady state GDP? (b) Does it change the steady-state capital? Explain. (c) Suppose a rises steadily over time. How do you think would affect the growth rate of GDP?
Are there key differences between an increase in the capital stock and an improvement in the level of technology?
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…
e Page(s) 416-418 12.4. Why are institutions the key to economic growth? Chile's per capita GDP rose from $7,709 to $20,208 over 23 years (1985- 2008). Which of the following factors is included in modern growth theory but not in the Solow model? Click or tap a choice to answer the question. expanded water-management infrastructure to support agriculture new technology that has revolutionized the salmon industry privatization of many government-owned businesses an expanded wine industry that takes advantage of Chile's geography
Problem 5 A “miraculous" Asian economy has an aggregate wage bill of 300 billion dollars and an aggregate GDP of 500 billion. The annual growth rate of aggregate GDP for this economy over the last 10 years was 7 percent (that is AY/Y=0.07) and the growth rate of labor was 6 percent (AL/L=0.06). Imagine that the production function is given by the standard Cobb-Douglas AK“L“. ,а, 1-а Y What are the "capital share (a)" and the "labor share (1 – a)"? b. Imagine that the government controls the national accounts. In its quest to improve its reputation, the government mistakenly thinks that having "a lot of investment" will make it look good so it "inflates" its growth of capital number to 12% (AK/K=0.12). When researchers estimate the rate of productivity growth (AA/A), what will they find? Is the growth rate of technology positive or negative? Does your result in (b) make sense? d. The actual truth is that the growth rate of capital was one half of what it announced. That is, instead of…

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