Assume that digital revolution popularizes the use of artificial intelligence (computers) in the workplace. The production function becomes: Y = 0.25 K(2/5)(ACN)(3/5) where C stands for the number of computers.: a) Use growth accounting to predict the increase in total output in response to an increase in the number of computers by 10 percent. b) The nominal interest rate on government bonds equals 9 percent and inflation equals 2 percent. The rate of GDP growth is equal to the result obtained in (a). Úse the debt dynamics equation and graph to explain whether or not the level of public debt in percent of GDP can be stabilized if the government runs a primary deficit. c) Use the neoclassical investment model (equation and graphs) to assess the impact of a decrease in the number of computers on investment (in traditional physical capital K).
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- The slope of the blue curve measures the plane's At point A, the slope of the curve is Calculating the slope, pay extra attention to the units of analysis.) The unit of measurement for the slope of the curve is , which means that the plane is At point B, the slope of the blue curve is (Hint: Calculating the slope, pay extra attention to the units of analysis.) which means that the plane is at a rate of at a rate of feet per minute. (Hint: feet per minute.The production function for an economy can be expressed as Y= F(K,L), where Y is real GDP, K is the quantity of capital in the economy, and L is the quantity of labor in the economy. If Y = K0.5 L0.5, what is real GDP if the quantity of capital is 900 and the quantity of labor is а. 400? b. What is/are the endogenous variable(s) in this model? What is/are the exogenous variable(s) in this model? с.Suppose over time that a firm's production process undergoes capital-saving technological progress. This implies (1) the isoquants corresponding to any particular level of output will shift outward from the origin and the MRTSL,K along any ray from the origin will increase. (2) the isoquants corresponding to any particular level of output will shift outward from the origin and the MRTSL,K along any ray from the origin will decrease. (3) the isoquants corresponding to any particular level of output will shift inward toward the origin and the MRTSL,K along any ray from the origin will increase. (4) the isoquants corresponding to any particular level of output will shift inward toward the origin and the MRTSL,K along any ray from the origin will decrease. When a production function can be expressed as q = min{ak, bL}, the relationship between capital and labour in the production function is that (1) capital and labour are perfect substitutes, and the isoquants are linear. (2) capital and…
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- 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?1) Let the growth rate of X, be defined as the log difference a (X4) = log X – log X-1. For variables X, and Y, show that the growth rate of the quotient equals the difference of the growth rates, g g(Xt) – g (Y:).The graph says: Clothing (units per 16 week) 14 12 10 1 2 3 4 5 Food (units per week) You are willing to give up 6 units of clothing to get the first unit of food You are willing to give up 4 units of clothing to get the third unit of food You are willing to give up 1 unit of clothing to get the fourth unit of food You are willing to give up 2 unit of clothing to get the fifth unit of food You are willing to give up 6 units of clothing to get the third unit of food
- I have worked on 1-3, but am stuck on 4-6, could you please assist? Suppose that the economy is summarized by the following: Technology (Production Function): Yt = 10 (Kt)0.3 (Lte)0.7 Consumption function: Ct = 0.8Yt Depreciation rate: 8% (i.e. δ= 0.08) Population growth: 2% (i.e. n = 0.02) Technological growth: 4% (i.e. g = 0.04) QUESTIONS: Find the steady state (long run) equilibrium values of kte, yet, and cet. Show graphically what would be the effect of a increase of the saving rate to s=0.4? Show graphically what would be the effect of an increase in population growth to 0.04? Assuming that in 2013 the US economy is in the steady state and L2013 = Le2013 = 8, what is the value of ke2014, ye2014, ce2014 , k2014, y2014, and c2014 ? Use your answer to e) to calculate the growth rate of ket, yet, cet , kt, yt, and ct Based on your answers to the previous questions and on your knowledge of how the Solow growth model works, explain what policies should a less-developed country…Suppose China has a production function of the form: GDP per worker = Tx (physical capital per worker)0.4 x (human capital per worker)0.6 Using this production function, which of the following statements are true? (Select all that apply) Unlike physical and human capital, technology (T) is not directly measured GDP per worker will increase if the labor force grows Output per worker will grow more if human capital increases by 1% than if physical capital increases by 1% None of the above(ii) What is the relation between Kt and Ht? Use this relation to write down total output as a function of Ktonly. Imagine that the number of people in this economy, Nt, is different from the number of workers because some people do not work. Lt Let lt - be the number of workers per capita (the fraction of the population that works). Let y Nt Yt be output per capita and Nt Kt kt be capital per capita. Finally, let n be the rate of population growth and y, be the growth rate of labor. Nt (iii) Using the "effective production function" you derived in (b), write down output per capita, yt, as a function of capital per capita, kt, labor per capita, lt, the level of population Nt, and the level of technology, A. Following Solow and Swan, assume there is no government and no net exports, that the depreciation rate of capital is the constant 8 > 0 and the savings rate is constant 0 < s < 1. (iv) DERIVE the fundamental equation of Solow-Swan. How does the growth rate of capital depend on…