Assume a country with a population size, L = 100. If the steady-state value of capital per worker is 10 and the production function is Y = KO5L05, what is the steady-state value of output per worker? Round your answer to the nearest tenth position (e.g. if your answer is "“12.3568", then write "12.4").
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- Could I have the second questions answered as well: For the production function Y = K1/3L2/3 (a) find the function for output per capita (b) What is the growth rate of per capita for this function in terms of the growth rate of K, gK, and the growth rate of L, n. Thanks!Capital per person in France is about 81 percent of the U.S. level and per capita income is about 79 percent of the U.S. level. Given that per capita income y = Ak0.3, calculate the level of total factor productivity (A), relative to the U.S. level, that would be needed for France to match the U.S. level of per capita income. Round your answer to 2 decimal places.Suppose country X currently produces $1000 of goods and services per year with a constant growth rate of 2.0% per year. Country Y's production is currently $800 with growth of 3.0% per year. Using the rule of 72, how long does it take for country X's production to double? Using the rule of 72, how long does it take for country Y's production to double? years After how long will the two countries have the same level of production? Estimate the level of production when the two countries produce the same amount. $ 36 years 24 years
- please answer the following, I have attached an image of the question for better format. Thanks! 3. Suppose that the production function of a country is given by Y=KaL1-a, where 0<a<1, Y is output, L is labour, and K is capital, Derive the equation for steady state capital per worker, output per worker, and consumption per worker in terms of the saving rate (s) and depreciation rate (d).In the Solow growth model, suppose that the per-worker production function is given by y = zk 0.4 with s = 0.15, d = 0.1, and n = 0.02. a. Suppose in country A that z= 1. Calculate the steady-state capital per worker and income per capita in country A. The steady-state capital per worker is (Round to two decimal places as needed.) The steady-state income per capita is. (Round to two decimal places as needed.) b. Suppose in country B that z = 2. Calculate the steady-state capital per worker and income per capita in country B. The steady-state capital per worker is|. (Round to two decimal places as needed.) The steady-state income per capita is (Round to two decimal places as needed.) c. As measured by GDP per capita, how much richer is country B than country A? What does this tell us about the potential differences in total factor productivity to explain differences in standards of living across countries? Country B is times richer than country A, as measured by GDP per capita. This…Productivity and growth policies Consider a hypothetical small island nation in which the only industry is cloud computing. The following table displays information about the economy over a two year period. Complete the table by calculating physical capital per worker as well as labor productivity. Hint: Recall that productivity is defined as the amount of goods and services a worker can produce per hour. In this problem, measure productivity as the quantity of goods per hour of labor. Year 2039 2040 Physical Capital (Servers) 200 480 Labor Force (Workers) Based on your calculations, productivity from 2039 to 2040. 100 120 Physical Capital per Worker (Servers) Labor Hours (Hours) 4,500 4,200 in physical capital per worker from 2039 to 2040 is asociated with Suppose you're in charge of establishing economic policy for this small island country. Output (TB of data storage) 40,500 75,600 Imposing restrictions on foreign ownership of domestic capital Subsidizing research and development…
- Assume positive population growth ( n > 0) and technological progress ( g > 0 ). Derive analytically the steady-state growth rates of output and capital, and the steady-state levels of output and capital per efficiency unit of labour. Illustrate your answer graphically and briefly discuss the economic intuition.Hypothetical data is given for the following countries. Calculate real growth per capita in the following countries: Instructions: Enter your responses rounded to one decimal place. If you are entering a negative number, be sure to include a negative sign (-) in front of the number. a. Democratic Republic of Congo: population growth = 2.8 percent; real output growth=-1.6 percent. Real growth per capita: % b. Estonia: population growth-(0.6) percent; real output growth-4.5 percent. Real growth per capita:[ % c. India: population growth=1.7 percent; real output growth = 5.9 percent. Real growth per capita: [ % d. United States: population growth 0.7 percent; real output growth = 2.8 percent. Real growth per capita: [In 2017, Country A had a GDP per capita of $8,500 and a population of 68.6 million people. In 2018, total GDP increased by 6.8%, and population growth was 0.9%. What was the GDP per capita in 2018? If necessary, round any intermediate calculations and your final answer to two decimal places.
- Suppose the initial real per capita GDP for countries A and B is 7 thousand dollars. If the annual growth rates of countries A and B are respectively 2.6% and 4.6% , what is the the ratio GDP of country B over GDP of country A after 67 years? Round your answer to the nearest first decimalCountry A and Country B both have the production function Y = F(K,L) = K¹/32/3 neither country experiences population growth or technological progress and that 20 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 30 percent of output each year. Now suppose that both countries start in year 1 with a capital stock per worker of 1. In what year will consumption in country B be higher than consumption in Country A? An excel spreadsheet may help simplify your calculation. You will need to round your calculations to 3 decimal places. O O O 5 6 4 Assume that 07Use the following table to find the steady-state values of the capital-labor ratio and output if the per-worker production 03 function is y=2k S Saving rate 8 Depreciation rate n Population growth rate A Technology 0.35 0.02 0.06 2 k* = Steady-state capital-labor ratio = y*= Steady-state output = (Round your responses to two decimal places.) CHILD Output, Investment, and Depreciation Capital-Labor Ratio Output Depreciation Investment After plotting the final point of your multipoint curve, press the Esc key on your keyboard to end the line Q