Suppose that the production function for an economy is given by Y = F(K, L) = AK/B[2/3 %3D 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?
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A: ANSWER STEP-1 SOLUTION:- According to the given data we have cobb- Douglas production function is in…
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- 1. 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.Write the production function (human capital (H) is included in TFP) and the logarithmic form of this production function then explain why the GDP growth will be at the end ofa given long period lower than at the beginning of this period, assuming that the average contribution of TFP to GDP average growth during the period is constant.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 answered
- 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?Consider the economies of Hermes and Gribinez, both of which produce gaggles of gop using only tools and workers. Suppose that, during the course of 10 years, the level of physical capital per worker rises by 5 tools per worker in each economy, but the size of each labor force remains the same. Complete the following tables by entering productivity (in terms of output per worker) for each economy in 2016 and 2026. **THE TABLE IS ATTACHED** Initially, the number of tools per worker was higher in Hermes than in Gribinez. From 2016 to 2026, capital per worker rises by 5 units in each country. The 5-unit change in capital per worker causes productivity in Hermes to rise by a _________ (LARGER/SMALLER) amount than productivity in Gribinez. This illustrates the _______ (CATCH-UP/NATURAL RESOURCES/TECHNOLOGY/HUMAN CAPITAL) effect. THANK YOU FOR THE HELPConsider the economies of Sporon and Gobbledigook, both of which produce gobs of goo using only tools and workers. Suppose that, during the course of 20 years, the level of physical capital per worker rises by 5 tools per worker in each economy, but the size of each labor force remains the same. Complete the following tables by entering productivity (in terms of output per worker) for each economy in 2015 and 2035. Sporon Year Physical Capital (Tools per worker) Labor Force (Workers) Output (Gobs of goo) Productivity (Gobs per worker) 2015 11 30 1,800 2035 16 30 2,160 Gobbledigook Year Physical Capital (Tools per worker) Labor Force (Workers) Output (Gobs of goo) Productivity (Gobs per worker) 2015 8 30 900 2035 13 30 1,620 Initially, the number of tools per worker was higher in Sporon than in Gobbledigook. From 2015 to 2035, capital per worker rises by 5 units in each country. The 5-unit change in capital per worker…