Consider the following growth model for technology: 8₁-0A (SAL) A the , and <1 Explain for each of the cases how output from the research sector technical level (4) and the technical growth rate develop over time if we assumes that the supply of laborforce to research (L₁=SL) is constant/fixed.
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- Why dues productivity growth in high-income economies not slow down as it runs into diminishing returns from additional investments in physical capital and human capital? Does this show one area where the theory of diminishing returns fails to apply? Why or why not?Would you expect capital deepening to result in diminished1etmns? Why or why not? Would you expect improvements in technology to result in diminished returns? Why or why not?Say that the average worker in the U.S. economy is eight times as productive as an average worker in Mexico. If the productivity of U.S. workers grows at 2 for 25 years and the productivity of Mexicos workers grows at 6 for 25 years, which country will have higher worker productivity at that point?
- How did the Industrial Revolution increase the economic growth rate and income levels in the United States?Over the past 50 years, many countries have experienced an annual growth rate in real GDP per capita greater than that of the United States. Some examples are China, Japan, South Korea, and Taiwan. Does that mean the United States is regressing relative to other countries? Does that mean these countries will eventually overtake the United States in terms of the growth rate of real GDP per capita? Explain.Write out the equation for output growth with capital, labor and total factor productivityas determinants of growth. Suppose that the shares of capital and labor are respectively0 .3 and 0.7. If labor supply grows by 10% what would be the growth rate of outputassuming that there is no change in the other determinants? What would happen to percapita output if labor supply growth is entirely due to population growth?
- 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 A1. Country A and B both have the production functionY = F (K, L) = K ½L ½or Y = K0.5 L0.5 a) What is the per-worker production function, y= f (k)? Please make sure to write specificfunctional form of the per-worker production function. b) Assume that neither country experiences population growth nor technological progressand that 4 percent of capital depreciates each year. Assume further that country A saves 24percent of output each year and country B saves 16 percent of output each year. Using youranswer from part a) and the steady-state condition, find the steady-state level of capital perworker for each country. Then find the steady-state levels of income per worker for eachcountry and steady-state level of consumption per worker for each country.Assume that a country's production function is Y = K1/2L1/2 and there is no population growthor technological change.a. What is the per-worker production function y = f (k)?b. Assume that the country possesses 40,000 units of capital and 10,000 units of labor. What isY? What is labor productivity computed from the per-worker production function? Is thisvalue the same as labor productivity computed from the original production function?c. Assume that 10 percent of capital depreciates each year. What gross saving rate isnecessary to make the given capital–labor ratio the steady-state capital–labor ratio? (Hint:In a steady state with no population growth or technological change, the saving ratemultiplied by per-worker output must equal the depreciation rate multiplied by the capital–labor ratio.)d. If the saving rate equals the steady-state level, what is consumption per worker?
- Assume that a country's production function is Y = K1/2L1/2 and there is no population growthor technological change.a. What is the per-worker production function y = f (k)?b. Assume that the country possesses 40,000 units of capital and 10,000 units of labor. What isY? What is labor productivity computed from the per-worker production function? Is thisvalue the same as labor productivity computed from the original production function?c. Assume that 10 percent of capital depreciates each year. What gross saving rate isnecessary to make the given capital–labor ratio the steady-state capital–labor ratio? (Hint:In a steady state with no population growth or technological change, the saving ratemultiplied by per-worker output must equal the depreciation rate multiplied by the capital–labor ratio.)d. If the saving rate equals the steady-state level, what is consumption per worker? Only D, other option answeredHi, can you please help me to solve this macroeconomics question. Describe the version of the endogenous growth model with capital. Explain the assumptions of the model together with the key equations describing the law of motion of the growth rates of technology and physical capital. Explain how it depends on the degree of returns to scale to technology and physical capital in knowledge production.The population growth rate increases by 10%. What would be the impact on the country's production function? Select one: a. movement downward along the same curve O b. shift outwards O c. shift inwards O d. remain unchanged O e. movement upwards along the same curve