The graph below shows three production functions. Fo shows the current production function for the economy, and capital per worker is currently (K/L)o; thus ouput per worker is Y/L)o. Suppose that there is a decrease in capital per worker. Which of the points on the graph could show the new capital per worker and output per worker? OA. 3 C. 1 OB. 2 O D. 4
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- A country faces diminishing marginal returns when increasing it's capital stock. If this country added 1,000 units of capital last year and saw their GDP rise by $500 per person, what would you expect to happen if they had added 2,000 units of capital instead? O GDP would increase by another $500 per person O GDP would increase by less than another $500 per person O GDP would increase by more than another $500 per person O It is impossible to tell what would happen What is a potential downside of using patents to promote the creation of new technology? Without a market test, patents might be given to technology which ends up being useless. O Government money may be directed towards unproductive goals. It slows the spread and development of those ideas by restricting competition. They prohibit competition forever. What is the law of diminishing marginal returns?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 CamScannerConsider the production functions shown here, which show the output of a bakery over time. Suppose that the bakery experiences significant wear and tear of its ovens and that this leads some of the ovens to break down, Which of the movements reflects this scenario? Real GDP per worker Physical Capital per worker O B to C O D to C O A to C O E to C
- Figure 11-4 Real GDP per hour worked, Y/L $17,000 16,400 16,000 15,000 $50,000 B E 60,000 70,000 Production function3 Production function2 Production function Capital per hour worked, K/L 16) Refer to Figure 11-4. The movement from E to B to D in the figure above illustrates A) an improvement in technology. B) a decline in capital per worker. C) diminishing returns to capital. D) diminishing returns to labor.2. An economy has a production function: Y 3KtLt. (1) The economy has a saving rate of 24 percent, a depreciation rate of 3 percent, 1 for all period (no population growth). and Lt Yt Lt (a) What is the per-worker production function, yt f(kt)? Define yt Ки Lt and kt (b) Find the equation for the evolution of capital per worker in terms of kt and kt+1 (c) Find the long-run growth rate of output per worker. Now the economy has the following production function: Y 3Kt (2) but savings rate, depreciation rate, and population remain the sameShow that, when using a traditional economic production function,doubling our population can double our output if capital stocks alsodouble. Use the production function: Q = AK L , where A representstechnology in an economy, K capital, and L labor. Double K and L andshow that Q also doubles, assuming α=β=1/2. Now show that, when we incorporate natural capital into thediscussion, doubling the population does not increase output in thesame way (since natural capital cannot also grow). Use theproduction function: Q = AK L N , where N is natural capital. DoubleK and L and show that Q less than doubles, assuming α=β=γ=1/3.
- In macroeconomics, the connection from inputs to outputs forthe entire economy is called _______________. a)physical capital b)a production function c)human capital d)an aggregateproduction functionYIN CN Next question Suppose that the production function is given by Y- 05VR N 454 where Y is output, Kis capital, and N is the number of workers 4 Suppose that 60 05 With your favonte spreadsheet software, compute steady-state output per worker and steady-state consumption per worker for s 0, 801, a02, s1 Graph the steady-state level of output per worker and the steady-state level of consumption per worker as a function of the saving rate 25 1) Using the multipoint curve drawing tool, drawa curve showing the relationship between YIN and the saving rate. Properly label your curve 15 2) Using the multipoint curve drawing tool, draw a curve showing the relationship between CIN and the saving rate. Properly label your curve 0.5 Although the control ponts for your multpownt curves do not have to be exact try to plot them as accurately as possible 01 02 03 a'4 os o6 07 os 09 Saving rate, At what saving rates are YIN and CIN maximized? After plotting the final point of your multipoint curve…A country faces diminishing marginal returns when increasing it's capital stock. If this country added 100 units of capital last year and saw their GDP rise by $1,000 per person, what would you expect to happen if they had added 200 units of capital instead? O It is impossible to tell what would happen GDP would increase by less than another $1,000 per person GDP would increase by another $1,000 per person GDP would increase by more than another $1,000 per person
- What were the sources of labor productivity growth in the U.S. economy during the sixty years since 1960? How did the 1960s differ from the more recent decades? During the sixty years since 1960, the sources of labor productivity growth include O A. plastics, the laser, and the computer during the 1960s, and the Internet during later years O B. the focus on saving energy during the 1970s O C. the wide-spread introduction of the Internet during the 1970s O D. the global financial turmoil of 2008-2009 that made labor more productive Comparing the 1960s to the more recent decades, labor productivity growth than in subsequent decades. O A. in the 1960s was approximately 25 percent higher O B. in the 1960s was smaller C. due to technological change was smaller in the 1960s O D. due to physical capital and human capital growth was greater in the 1960s Click to select your answer. MacBook A3. What are the 2 variables that the Production Function is analyzing/graphing? Why does the production function diminish over time?The following table shows the GDP per capita of various countries forthe years 1960 and 2010 in PPP-adjusted 2005 dollars. The table alsocontains the implied growth rates, which show how much on average eachcountry needed to grow each year to reach the 2010 level of GDP per capitastarting from the 1960 level of GDP per capita. Use the table to answer thefollowing questions. 1. Why have some countries reduced the gap between their incomes andthat of the United States and other countries failed to do so?