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Derive the per-worker production function for this economy if Y=zK2/3N1/3.
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- Economies production function is Y = AK0.3N0.7. If K = 2000, N = 100, and A= 1, then Y = ?Given the following production function Y=X+4X^2-0.2X^3. At what level of X does the Total physical product (TPP) reach its maximum?Suppose a country has a population of 120 people, a working-age population of 100 people, its labor force participation rate is 0.5 (50%), and the quantity of output is 60 units. Suppose that the production function of the economy is given by Y=2N, where Y represents the quantity of output and N represents the number of workers needed to produce the output. I know the answer is 0.4 but I don't understand how to get it. Thank you!
- In 2000, the country of Cobra Island has an initial level of capital set at 10 units. The population of Cobra Island is unknown, but we do know that it grows each year at some constant rate. The level of total income is 500 cobra dollars. Finally, the total production function of Cobra Island can be described as Y=10*L1/2k1/2 What is the initial population of Cobra Island? Let the wage of labor is 0.4, and the rental rate of capital is 0.6. The capital to labor ratio after two years (in 2002) is 50 while the amount of workers is 1000. The growth rate of capital is 6,970%. The growth rate of labor is 100%. Find the GDP of Cobra Island. How much labor is there in Cobra Island one year after the initial year (or in 2001)? The growth rate of income is 1,089%. Find the Solow Residual. Do not give the answer as a percentage. Zackland, a developing country, can be described using the Harrod-Domar Model. The ICOR of Zackland is 0.8. Assume that the economy is stable. In other…PPF – what does this abbreviation stand for and what does this mean and describe it briefly?Also describe each component of the given production function P(L,K) = BLa KbIn any Econorry the production function | 1-x is y=Ka L!-xnfinity Derive ss level of output per and capital per worker. vyorker
- In 2008, the country of Cobra Island has an initial level of capital set at 10 units. The population of Cobra Island is unknown, but we do know that it grows each year at some constant rate. The level of total income is 500 cobra dollars. Finally, the total production function of Cobra Island can be described as Y =10*L1/2k1/2 a. What is the initial population of Cobra Island? a. Let the wage of labor is 0.4, and the rental rate of capital is 0.6. The capital to labor ratio after two years (in 2002) is 50 while the amount of workers is 1000. The growth rate of capital is 6,970%. The growth rate of labor is 100%. Find the GDP of Cobra Island.Suppose the economy of Utopia has a labor force of 600 workers, 100 units of capital and 400 hectares of land. It produces manufactured goods (M) which use labor (LM) and capital (K) in production and agricultural goods (A) which use labor (LA) and land (T) in production. The production functions are given by: QM = VR/LM %3D And Ly + LA = L = 600 In autarky, PA = PM = 10. %3D Suppose Utopia engages in trade and the price of manufactured goods, PM = 20. What happens to: 1. The workforce and output of manufactured goods? Of agricultural goods? 2. The nominal and real wage in Utopia? 3. The real return to capital and to land in Utopia? 4. Will everyone support trade?The aggregate production function is Y = 3KL. If there are 20 units of capital and 50 units of labor, what is capital productivity? Group of answer choices 300 1000 600 150
- Suppose that the production function for an economy is given by Y F(K, L) = AK'/BL2/3 Where Y is output, A is the level of technology, K is capital and L is labor. If the value of L is 100, the value of K is 400, and the value of A is 2, what is the per capita value of output in this economy?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.Depreciation, investment, and output per worker juts Depreciation, ök Ass Output, (k) Investment, (k) Capital per worker (K) The aggregate production function of capital states that output is determined by: