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…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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The graphs below depict the initial market for labor (on the left) and the macroeconomic production function (on the right). You will use these graphs to identify the effect of an increase in the number of available workers on employment, Potential GDP, and per-worker productivity. Suppose that a substantial increase in labor force participation increases the supply of labor by 40,000 workers at every value of the real wage. (1) Identify the effect of this event on equilibrium employment in the market for labor, and identify the specific new equilibrium level of employment. (2) Identify the effect of this event on Potential GDP, and identify the specific new level of Potential GDP. (3) Finally, identify the effect of this event on per-worker productivity, and identify the specific new level of per-worker productivity. You should embed a graph that clearly depicts (1) the correct supply shift in the market for labor, (2) the new equilibrium real wage, and (3) the new equilibrium…
Economic Growth Akila and her family are the only inhabitants of a small oasis in the middle of the desert. They grow various kinds of trees, which provide them with everything they need. Akila has built an irrigation system that improves the productivity of the land. Production makes use of three factors: capital K (the irrigation system), labour N (the work done by Akila and her family) and land L (the oasis and the desert around it). The production function is given by F(K,N,L)= K*N*L*. Labour supply is fixed at N=1 and the family owns 64 units of land, L=64. The irrigation system is in constant need of repair; about 10% needs to be rebuilt every year to keep it in a good condition, i.e. K' = K – K +1, where I is investment in the capital stock. 1. Show that for a saving rate s, the law of motion for the capital stock can be written in per-capita terms as k'=k-k+s2vk . 2. Find the steady-state level of the capital stock k, output y and consumption e as functions of s. 3. Currently,…
A small economy increased its capital per hour worked (K/L) from $40,000 to $50,000. As a result, real GDP per worker (Y/L) grew from $20,000 to $25,000. If the economy increases its capital per hour worked by another $10,000 to $60,000, but there is no change in technology, by how much more and in what direction will output per worker change? Answer neatly with proper explanation of it
ANSWER COMPLETE SOLUTION OKAY?
In class we argued that if people could accumulate human as well as physical capital, the production function would look like the “AK” production function. • (a) If the production function is AK and the savings rate is constant at rate “s”, and the rates of depreciation and populati on growth are δ and n respectively, what would the growth rate of the economy be? • (b) What would be the macroeconomic consequences of decreasing the savings rate in this economy? • (c) What would be the consequences of an increase in fertility in this economy? • (d) Would the consequences of decreasing fertility be UNAMBIGUOUSLY GOOD? • (e) Can human capital grow without bounds? Explain why or why not (make sure you discuss the physical nature of human capital). • (f) What is the growth rate of the economy (in the absence of technological progress) if human capital cannot grow without bounds?
I want to check if I am going in the right direction with my math could I get feedback or guidance for the next part
1. Consider an economy that operates under competitive markets and meets the assumptions of the Solow model. The production function is given as follows: Y(t) = K (t) 0.3 (A(t)L(t)) ⁰.7 Assume a saving rate of 15%, labor force growth rate of 2% and depreciation rate of 5% and effectiveness of labor growth rate of 8%. a. Show that the production function exhibit constant return to scale? b. Derive the production function for output per capita. c. Derive the production function for output per effective unit of labor. d. Find equilibrium real wage as a function of capital per unit of effective labor and effectiveness of labor. e. Find equilibrium real rental price of capital as a function of capital per unit of effective labor and effectiveness of labor. f. Solve for steady state level of capital per unit of effective labor. g. Find steady state level of output per unit of effective labor. h. Find growth rate of output and output per worker on the balanced growth path. i. Which one would…
The aggregate production function is Y = 5KL. If there are 18 units of capital and 50 units of labor, aggregate output is ________________.
The per-unit cost of an item is its average total cost (= total cost/quantity). Suppose that a new cell phone application costs $250,000 to develop and only $0.60 per unit to deliver to each cell phone customer. Instructions: Round your answers to two decimal places. What will be the per-unit cost of the application if it sells 100 units? Per-unit cost = $1 What will be the per-unit cost of the application if it sells 1000 units? Per-unit cost $[ What will be the per-unit cost of the application if it sells 1 million units? Per-unit cost $
Consider an economy that produces goods and services according to the production function F (L, K) = 90L Ki,where L represents the number of workers in an economy and K represents the combined units of physical and human capital. The marginal products of labour and capital are: (登) MPL = 60 30(£) MPK = Question 1 Initially: there are 27 workers and 64 units of capital. Part (a): What is the economy's real GDP and GDP per capita? 1st scenario Suppose L increases to 125 while capital remains constant at 64: Part (b): Calculate the economy's real GDP and GDP per capita. Part (c): Relative to the initial scenario (L = 27 and K = 64), how much did MPL change by? 2nd scenario Now suppose L remained constant at 27 workers and capital increased to 216 units: Part (d): Calculate the economy's real GDP and GDP per capita. Part (e): Relative to the initial scenario (L = 27 and K = 64), how much did MPK change by? 3rd scenario Finally, suppose L = 54 and K = 128. Part (f): Calculate the economy's…
Suppose that production in an economy is represented by the production function Y = K1/4. If the investment rate is equal to 0.25 and the depreciation rate is equal to 0.10, calculate the steady-state levels of capital and output.

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