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- Draw an example production function in terms of output and capital.GIVE 2 specific properties which define its shape; explain these usingthe definition and properties of MPK.Suppose that Indonesia's national production function is Y = K 05L 05, where K is the amount of land and Lis the amount of labor. The economy starts when the amount of land owned is 100 units and the number of workers is 100 units. Calculate the following indicators. a. How much output is produced? b. What are the labor wages and land rent? c. What is the share of the output received by labor? d. If a natural disaster occurs that causes the population to be reduced by half, what is the new level of national output? e. What are the new rates of labor wages and land rent? f. What share of output does the labor receive now?The following data give real GDP, Y, capital, K, and labor, N, for the U.S. economy in various years. Units and sources are the same as in Table 3.1. Assume that the production function is Y-AK0.3N0.7 Year 1970 1980 1990 K 5600 8055 10,946 2000 13,131 14,711 137 2010 15,599 17,682 139 ● Y 4951 6759 9365 L 79 99 119 (a) Calculate total factor productivity (A). By what percentage did U.S. TFP grow: between 1970 and 1980? between 1980 and 1990? between 1990 and 2000? between 2000 and 2010? (b) Plot the short-run production function while keeping capital fixed at the 1970 level. (c) What happened to the marginal product of labor between 1970 and 2010? HINT: Calculate the marginal product numerically as the extra output gained by adding 1 million workers in each of the two years. (The data for employment, N, are measured in millions of workers, so an increase of 1 million workers is an increase of 1.0.)
- Suppose the economy's production function is to Y=AKN. If K = 2000, N= 100, and A=1. The calculate Y.1. Assume individual's utility flow function takes form: u(c) = log(c), and the production function takes form: Y(t) = AK(t) + BL(t). Describe the physical capital accumnlation equation and obtain the GDP growth rate in the following economy: (a) RCK economy (b) OLG economy4. In an economy that works in accordance with the classical model, the production function is: Y=2KO L°, and both the quantity of labour and capital are 100 units. The marginal product of labour can be written as MPL-KSL0,5. Answer in the table below. a) Calculate GDP. b) Calculate the percentage of labour income within GDP. c) Calculate the equilibrium real wage. a) GDP: b) percantage of labour income: c) equlibrium real wage:
- Suppose the production function in an economy is Y = K0.SL05, where K is the amount of capital and L is the amount of labor. The economy begins with 25 units of capital and 25 units of labor. Round answers to two places after the decimal when necessary. a. How much output does the economy produce? units of outputA country has a Cobb-Douglas production function given by: Y = AK0.5H0.1 If total factor productivity is 46, human capital is 1,828, and the capital stock is 2,736, what will this country's GDP be? Do not round until your final answer, when you may round to two decimal places. Country A produces GDP according to the following equation: GDP 5K and has a capital = stock of 13,399. If the country devotes 13% of its GDP to producing or repairing investment goods, how much is this country currently investing? Rounds your answer to two decimal places.Economics, physical capital represents the uildings or machines used by a business to produce product. The marginal product of physical capital presents the rate of change of output product with spect to physical capital (informally, if you increase e size of your factory a little, how much more Foduct can you create?). articular model tells us that the output product Y is given, a function of capital K, by Y = AKªL'-a ere A is a constant, L is units of labor (assumed to be stant), and a is a constant between 0 and 1. Determine marginal product of physical capital predicted by this del. ned with CamScanner
- Question 27Refer to Figure 1. Suppose the per-worker production function in the figure above represents the production function for the U.S. economy. If the United States decided to double its support of university research, this would cause a movement fromn.OS consumer goods in terms of capital goods in Figure below?In macroeconomics, the connection from inputs to outputs for the entire economy is called _______________. Question options: a) physical capital b) a production function c) human capital d) an aggregate production function