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2. Throughout the text, a simplifying assumption was made in the production function model of
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- For the first 2 questions: Suppose that income (output) grows at 15 percent, capital grows at 6 percent, and labor grows at 3 percent. Suppose Y-AK'N-, with 8 = 1/3. 1. What is productivity growth? A) 10% B) 11% C) 12% D) 13% 2. What is the growth of income per capita (income per worker)? A) 10% B) 11% C) 12% D) 13% 3. In the Romer model, productivity improvement continues indefinitely if A) Researchers have constant productivity B) Production is subject to perfect competition C) Old ideas help generate new ideas D) There is no growth in any country 4. Which of the following statements about Total Factor Productivity (TFP) is true? A) TFP is the fraction of output that cannot be explained by factor inputs. B) TFP is the most important factor in accounting for low output per worker in poor countries. C) Resource misallocation across firms can be a reason for low TFP. D) All of the above. 5. Read the article "The Productivity Puzzle". Which one of the following is a reason that the U.S.…Population Growth and Technological Progress – Work It Out PLEASE WRITE ANSWERS CLEARLY An economy has a Cobb-Douglas production function: Y = K“(LE)'-a The economy has a capital share of 0.30, a saving rate of 42 percent, a depreciation rate of 4.00 percent, a rate of population growth of 5.25 percent, and a rate of labor-augmenting technological change of 3.5 percent. It is in steady state. b. Solve for capital per effective worker (k*), output per effective worker (y*), and the marginal product of capital. k* = y* = marginal product of capital =Suppose that total capital and labour both increase by the Suppose that total capital and labour both increase by the same percentage amount so that the amount of capital per worker k does not change. Writing the production function in per-worker terms, y = f(k), requires that this increase in capital and labour must not change the amount of output produced per worker y. Use the growth accounting equation to show that equal percentage increases in capital and labour will leave output per worker unaffected only if aK + aN = 1. Suppose that total capital and labour both increase by the
- Consider a production function Y = AK0.2L 0.8 . Suppose the capital growth is 20%, labor growth is 10%, and output growth is 50%. b. What are the contributions of capital growth and labor growth to output growth? What is productivity growth?1. O LounchPad • Country A and country B both have the production function Y = F(K, L) = K/³L²/3. 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 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. Using your answer from part (b) and the steady-state condition that investment equals depreciation, find the steady-state level of capital per work- er for each country. Then 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 1. What are the levels of income per worker and consumption per worker?Suppose that in Country 1 the growth rates of multifactor productivity (a), capital (k), and labor (h) are 2.5, 3, and 1 percent per year, respectively, and that capital’s share of output (b) equals 0.25. Initially output per hour equals 40 in Country 1 and 10 in Country 2. (a) Calculate the labor productivity growth rate in Country 1. (b) Calculate output per hour in Country 1 at the end of ten, twenty, and thirty years. (c) Suppose that the labor productivity grows four times as fast in Country 2 as it does in Country 1 for the first ten years, three times as fast for the second ten years, and twice as fast for the third ten years. Calculate output per hour in Country 2 at the end of ten, twenty, and thirty years. (d) Calculate Country 2’s output per hour as a percentage of Country 1’s output per hour at the end of ten, twenty, and thirty years. Are these calculations consistent with the predictions of the Solow growth model?
- Economic Growth II- Work It Out Question 1 An economy has a Cobb-Douglas production function: Y = K (LE)¹- The economy has a capital share of 0.35, a saving rate of 45 percent, a depreciation rate of 5.00 percent, a rate of population growth of 5.50 percent, and a rate of labor- augmenting technological change of 4.0 percent. It is in steady state. c. The economy has capital than at the Golden Rule steady state. To achieve the Golden Rule steady state, the saving rate needs to d. Suppose the change in the saving rate you described in part c occurs. During the transition to the Golden Rule steady state, the growth rate of output per worker will be the rate you derived in part a. After the economy reaches its new steady state, the growth rate of output per worker will be11. In 2022 a country has the following data: GDP TFP Capital Labor Y A K L 400 1,100 20 The production function is Y = A¿KQ4 LQ.6 and the capital stock evolves according to Kt+1 growth rate of labor is 0.6% and TFP growth is 2%. Assume that population is equal to labor. Use the Solow model to calculate per-capita GDP in 2024 (two years later). (1 – d)Kt + It. The saving rate 22%, the depreciation rate is 10%, the (а) 498.32 (b) 504.42 (c) 516.96 (Right answer) (d) 548.87The graph below shows the standard model for economic growth. Output per worker В A Capital per worker One curve represents New Zealand and the other Ghana. The country of Ghana is likely to be at point while New Zealand is likely to be at point The improvement in output per worker due to adopting new technology could be shown as Which of the following does the model above suggest? Oeconomic growth in New Zealand is higher than it is in Ghana Oit is possible for Ghana to experience relatively high growth rates compared to New Zealand OGhana is poor due to high rates of corruption and poor infrastructure Othe only way for Ghana to raise living standards is to adopt new technology
- Suppose you add a variable rate of population growth to a two-sector model of growth. Draw and properly label a graph on how the production function, investment requirement line, and saving line look like. Does the addition of the variable rate of population growth to this model help you explain anything that a simpler two-sector model with a fixed rate of growth, or a one sector model with variable population growth, cannot? Expound.Suppose that country A and country B currently have identical production possibility frontiers, but that country A devotes only 5 per cent of its resources producing capital goods over each of the next 10 years, whereas country B devotes 30 per cent. Which country is likely to experience more rapid economic growth in the future? Illustrate using a production possibility frontier graph. Your graph should include production possibility frontiers for country A today and in 10 years, and for country B today and in 10 years.Suppose that , z the marginal product of efficiency units of labor, increases in the endogenous growth model. What effects does this have on the rates of growth and the levels of human capital, consumption, and output? Explain your results.