Assume that digital revolution popularizes theuse of artificial intelligence (computers) in theworkplace. The production function becomes:Y = 0.25 K(2/5)(ACN)(3/5)where C stands for the number ofcomputers.:a) Use growth accounting to predict theincrease in total output in response to anincrease in the number of computers by 10percent.b) The nominal interest rate on governmentbonds equals 9 percent and inflation equalspercent. The rate of GDP growth is equal tothe result obtained in (a). Use the debtdynamics equation and graph to explainwhether or not the level of public debt inpercent of GDP can be stabilized if thegovernment runs a primary deficit.c) Use the neoclassical investment model(equation and graphs) to assess the impact ofa decrease in the number of computers oninvestment (in traditional physical capital K).

The mathematical expression that shows the maximum amount of output by using different combinations…

Answered: Assume that digital revolution…

Economics:

10th Edition

ISBN:9781285859460

Author:BOYES, William

Publisher:BOYES, William

Chapter9: Aggregate Expenditures

Section: Chapter Questions

Problem 7E

See similar textbooks

Similar questions

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…
In 1928, Charles Cobb and Paul Douglas published a study in which they modeled the growth of the US economy during the period 1899 to 1922. The function used to model production was of the form: (1) P(L, K) = 6LªK!-a where P is total production (monetary value of goods produced in the year); L, the amount of work (total number of person-hours worked in a year); and K, the amount of capital invested (monetary value of machinery, equipment and buildings). In these terms, the hypotheses made by Cobb and Douglas can be stated as follows: (i) If either labor or capital cancel each other out, so does production. (ii) The marginal productivity of labor is proportional to the amount of output per unit of work. (iii) The marginal productivity of capital is proportional to the amount of production per unit of сapital. 1. The output per unit of work is (a) Tick the alternative that, for some constant a, describes the hypothesis (ii) = aP·L. = a. P () aL L P = a. (b) If we keep K constant, K = K0,…
Production Equation Calculate the following MR1, MR2, AP₁, AP2, and TP q= 10x₁ - 4x² + 5x₂ - 6x²/
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?
Suppose the macroeconomic parameters are as follows in Turkey. Production: Y = A K1/3 L2/3 (A= 7 ) Factor supplies: K, L (K = 3000, and L= 1300) Government: 2200, Taxes: 2000 Consumer behavior C = 1000 + 0.6 (Y-T Investment behavior | = 3000 - 1000г Compute real interest rate in Turkey (Show the percentage value as numerical such as 15 for %15 or 0.15).
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…
(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…
Suppose the production function in an economy is Y = K0.SL05, where K is the amount of capital and L is the amount of labor. The economy begins with 25 units of capital and 25 units of labor. Round answers to two places after the decimal when necessary. a. How much output does the economy produce? units of output

SEE MORE QUESTIONS

Recommended textbooks for you

Economics:

Economics

ISBN:

9781285859460

Author:

BOYES, William

Publisher:

Cengage Learning

Economics:

Economics

ISBN:

9781285859460

Author:

BOYES, William

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS