2. The production function and economic growth The production function of a hypothatical economy is Q-T(L,K) The Q stands for Real GDP; the T stands for the technology coefficient; the stands for labor, and the K stands for capital. The graphical representation of this production function is given as follows. (ol 400 TRI 34 Suppose that the economy is currently at Point A, where: Q-0.5(4,5) LABOR (L) Now suppose the economy moves to Paint 8 on the graph. Which of the following expressions is most likely to represent the new Real GDP 09-05 (5,5) 09-03 (4.5) 09-05 (3,5) 09-07 (45) Which of the following could plausibly cause the change you just observed? O Advances in technology O A rise in labor taxis O A decline in the economy's technological capabilities Afin labora (?)

2. The production function and economic growth The production function of a hypothatical economy is Q-T(L,K) The Q stands for Real GDP; the T stands for the technology coefficient; the stands for labor, and the K stands for capital. The graphical representation of this production function is given as follows. (ol 400 TRI 34 Suppose that the economy is currently at Point A, where: Q-0.5(4,5) LABOR (L) Now suppose the economy moves to Paint 8 on the graph. Which of the following expressions is most likely to represent the new Real GDP 09-05 (5,5) 09-03 (4.5) 09-05 (3,5) 09-07 (45) Which of the following could plausibly cause the change you just observed? O Advances in technology O A rise in labor taxis O A decline in the economy's technological capabilities Afin labora (?)

Macroeconomics

13th Edition

ISBN:9781337617390

Author:Roger A. Arnold

Publisher:Roger A. Arnold

Chapter17: Economic Growth: Resources, Technology, Ideas And Institutions

Section: Chapter Questions

Problem 6WNG

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Give typing answer with explanation and conclusion The production function is given by Y=AK, where K is the capital stock and A denotes the level of technology and equals 1.2 (the rate of technological progress equals 0). The rate of population growth is 2% and people save 15% of their incomes. The capital stock is 12000 and consumption of fixed capital is equal to 120 (and it always represents this percentage of the capital stock). Calculate the rate of growth of output per worker.
Give only typing answer with explanation and conclusion The production function in an economy is given by Y = K0.4L0.6, where Y is output level, K is capital input, and L is labour input. The saving rate is 24%, the annual population growth rate is 4%, and annual depreciation rate is 2%.
Suppose an economy’s production function is Y = AKαL1−α. If the annual rate of economic growth is 3.5 per cent and labour and capital are both growing by 2 per cent annually, what contribution to growth is made by total factor productivity? You can assume that labour receives 75 per cent of the total income generated in this economy.
Country A and country B both have the production function Y = F(K, L) = K^0,5L^0,5 A. Does this production function have constant returns to scale? Explain. B. What is the per-worker production function, y = f(k)? C. Assume that neither country experiences population growth or technological progress and that 5 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 20 percent of output each year. Using your answer from part (b) and the steady-state condition that investment equals depreciation, find the steady-state level of capital per worker for each country. Theen find the steady-state levels of income per worker and consumption per worker. D. Suppose that both countries start off with a capital stock per worker of 2. What are the levels of income per worker and consumption per worker? Remembering that the change in the capital stock is investment less depreciation, use a calculator or a computer spreadsheet…
Assume that Economyland’s production function is Y = F (K, L) = K 0.5 L 0.5Where Y is output level, K is the amount of capital input, and L is the amount of laborinput. a) What is the per-worker production function, y= f (k) for Economyland? b) Assume that 10 percent of capital depreciates each year and savings rate is 20 percent,find the steady-state level of capital per worker for Economyland. Then find the steady-state levelof income per worker and steady-state level of consumption per worker. c) Is it possible to save too much? Why?
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…
Write out the equation for output growth with capital, labor and total factor productivityas determinants of growth. Suppose that the shares of capital and labor are respectively0 .3 and 0.7. If labor supply grows by 10% what would be the growth rate of outputassuming that there is no change in the other determinants? What would happen to percapita output if labor supply growth is entirely due to population growth?
Consider an economy with a Cobb-Douglas production function with α = 1/3 that begins in steady state with a growth rate of technological progress of g of 2 percent. Consider what happens when g increases to 3 percent. (a) What is the growth rate of output per worker before the change? What happens to this growth rate in the long run? (b) Perform a growth accounting exercise for the economy, decomposing the growth rate in output per capita into components contributed by capital per capita growth and technology growth. What is the contribution of the change in g to output per capita growth according to this formula? (c) In what sense is the growth accounting result in part b producing a misleading picture of this experiment? Explain why this is the case.
Assume that total output is determined by this formula: number of workers × productivity = total output Hint: Assume there are 100 workers and each worker produces $100 of output. If productivity increases by 3 percent and the number of workers increases by 2 percent a year, how fast will output grow?
#18 1.5 The output of a certain economy is given by the production function: 1 2 Q AK L3 3 = If technology is growing at a rate of 1% per year, the capital stock by 3%, and the labour supply by 2%, what will total growth in the economy be?
Although economic growth is typically measured by calculating the rate of changein real GDP, there are a few problems associated with the use of GDP as ameasure of economic growth.Identify these problems.(4)Q.3.2 Economic growth can originate from the demand side or from the supply side ofthe economy. Discuss the sources of economic growth on the demand side.
In class we argued that if people could accumulate human as well as physical capital, the production function would look like the “AK” production function. • (a) If the production function is AK and the savings rate is constant at rate “s”, and the rates of depreciation and populati on growth are δ and n respectively, what would the growth rate of the economy be? • (b) What would be the macroeconomic consequences of decreasing the savings rate in this economy? • (c) What would be the consequences of an increase in fertility in this economy? • (d) Would the consequences of decreasing fertility be UNAMBIGUOUSLY GOOD? • (e) Can human capital grow without bounds? Explain why or why not (make sure you discuss the physical nature of human capital). • (f) What is the growth rate of the economy (in the absence of technological progress) if human capital cannot grow without bounds?