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- How is the concept of technology, as defined with the aggregate production function, different from our everyday use of the word?9 Based on the production function Y = AKaG1-a (with G representing public expenditure, and the remaining variables and parameters representing usual values), show, using the necessary assumptions the value of the tax amount that maximizes the economic growth rate. Then, represent graphically the situation.Using logarithmic form of this GDP production function compute the TFP contribution to GDP growth rate assumingalpha=0.4, beta=0.50 while GDP growth rate is 4.0 percent, capital stock growth rate is 5percent, labor growth 3percent and human capital growth 2 percent.
- A country produces output using a production function: Y = F(K, L) = AxK0.5 L0.5 where L is labour, K is capital and A is total factor productivity. Prove that this function exhibits constant returns to scale. Assume that A = 3 and its growth rate is zero. The country has a population growth of 1.5% per year (0.015) and capital depreciates at a rate of 10% (0.10) per year. If the country saves 30% (0.3) of national income, find the steady state levels of capital per worker, as well as consumption and income per worker in the Solow growth model corresponding to this country. What would be the rate of growth of GDP per capita in steady state? Calculate the “Golden Rule” level of capital stock in steady state. Is this economy dynamically efficient?Gross domestic product per capita is the ratio of total gross domestic product to population.gross domestic product, a unit of timemonetary value of the final goods and services produced in the economy (let be in TL) and population, unitaccording to the number of people in that economy at the time,a) write down the unit of measure and size of the gross domestic product variable per capita. b) what is the relationship between gross domestic product per capita, total gross domestic product and population growth?Express your conclusions in a sentence by making inferenceTurkish growth performance in 1980’s Explain why in the period of 2014-2018 the TFP contribution to GDP growth diminished to 0.8 percentage points the lowest scored observed in Turkish economic history while Log K is at 7.2%, a very high growth score?
- Question 2Assume production function is given by:Y= K(1/2) L(1/2)a. Write the production function in per worker terms (y=f(k))b. Assume that the per worker level of capital in the steady state is 4, the depreciation rate is 5% per year, and population growth is 5% per year. Does this economy have “too much” or “too little” capital? How do you know? [Show your work].Country Alpha and Country Beta initially have the same realGDP per capita. Country Alpha experiences no economic growth, while Country Beta grows at a sustained rate of 5 percent. In 14 years, Country Alpha’s GDP will be approximately _________ that of Country Beta. a)triple b)double c)one-half d)one-fourthConsider an economy described by the production function: Y = F(K, L) = K^0,3L^0,7 A. What is the per-worker production function? B. Assuming no population growth or technological progress, find the steady-state capital stock per worker, output per worker, and consumption per worker as a function of the saving rate and the depreciation rate.
- Consider an economy with a Cobb-Douglas production function with α = 1/3 that begins in steady state with a growth rate of technological progress of g of 2 percent. Consider what happens when g increases to 3 percent. (a) What is the growth rate of output per worker before the change? What happens to this growth rate in the long run? (b) Perform a growth accounting exercise for the economy, decomposing the growth rate in output per capita into components contributed by capital per capita growth and technology growth. What is the contribution of the change in g to output per capita growth according to this formula? (c) In what sense is the growth accounting result in part b producing a misleading picture of this experiment? Explain why this is the case.If labor input increases by 2 per cent and capital stock increases by 3 per cent per annum, what will be the GDP growth rate? Assume the multi- factor activity or efficiency factor is 2, labor share in national income is 70%, and capital share is 30%: a. 2.023b. 4.20c. 5.023d. 5.30Consider an economy in which the labour force grows by 2.7 percent per annum, physical capital grows by 4 percent per annum and human capital grows by 1.8 percent per annum. Suppose 45 percent of national income goes to labour and 40 percent to capital. Use a constant returns to scale production function to answer the following growth accounting questions: (a) If the Solow residual were zero what rate of growth would the economy achieve? (b) The country's actual rate of growth has been 4.5 percent per annum, which is faster than the growth rate generated by the accumulation of capital and labour stocks. Calculate the value of the residual.