As an alternative to the story of Robinson Crusoe, macroeconomists use the "aggregate production function," written as Y = AF(L,K,H,N), to link economy-wide output Y to the number of workers L, the stock of physical capital K, the stock of human capital H, the stock of natural resources N, and stock of technological knowledge A. With reference to this aggregate production function, please indicate whether each of the following statements is true or false. (a) The aggregate production function exhibits "constant returns to scale" if doubling the four inputs - workers L, physical capital K, human capital H, and natural resources N – while holding the stock of technological knowledge A fixed leads to a doubling of output. (b) The aggregate production function exhibits "constant returns to scale" if tripling the four inputs - workers L, physical capital K, human capital H, and natural resources N – while holding the stock of technological knowledge A fixed leads to a tripling of output

As an alternative to the story of Robinson Crusoe, macroeconomists use the "aggregate production function," written as Y = AF(L,K,H,N), to link economy-wide output Y to the number of workers L, the stock of physical capital K, the stock of human capital H, the stock of natural resources N, and stock of technological knowledge A. With reference to this aggregate production function, please indicate whether each of the following statements is true or false. (a) The aggregate production function exhibits "constant returns to scale" if doubling the four inputs - workers L, physical capital K, human capital H, and natural resources N – while holding the stock of technological knowledge A fixed leads to a doubling of output. (b) The aggregate production function exhibits "constant returns to scale" if tripling the four inputs - workers L, physical capital K, human capital H, and natural resources N – while holding the stock of technological knowledge A fixed leads to a tripling of output

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Hand written solutions are strictly prohibited
Respond to the question with a concise and accurate answer, along with a clear explanation and step-by-step solution, or risk receiving a downvote.
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,…
Consider now the two-period model in general equilibrium, so that prices, investment and labour supply are endogenous, i.e. the production economy. Analyse and carefully explain graphically and in words the general equilibrium effects of a decrease in TFP(total factor production) for a benchmark economy with no frictions.
Please answer the following question as soon as possible. Thanks a lot! Imagine we live in a classical world. Suppose that the production function is ? = ?^(1/2)?^(1/2), where L is the amount of labor and K is the amount of capital. The economy has 100 units of labor and 100 units of capital.
Given the following aggregate production function: Y = K0.25 (AL) 0.75, where technology A grows at a fixed rate: = g> 0 (a) Obtain the marginal product of capital algebraically, also discussing the second derivative. (b) Transform the production function into efficiency-worker terms, showing how =ỹ depends AL on =k. K AL
Please no written by hand and graph Consider a small world that consists of two different countries, a developed and a developing country. In both countries, assume that the production function takes the following form: Y = F (K, LE) = K¹/4 (LE) 3/4, where Y is output, K is capital stock, L is total employment and E is labour augmenting technology. (a) Does this production function exhibit constant returns to scale in K and L? Explain. (b) Express the above production function in its intensive form (i.e., output per-effective worker y as a function of capital per effective worker k). (c) Solve for the steady-state value of y as a function of saving rate s, population growth rate n, technological progress g, and capital depreciation rate 6. (d) The developed country has a savings rate of 30% and a population growth rate of 2% per year. Meanwhile, the developing country has a savings rate of 15% and population growth rate of 5% a year. Technology evolves at the rate of 8% and 2% in…
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…
The following graph shows a variety of possible production functions (PFs) in an imaginary economy, assuming constant levels of human capital and technology. Because human capital and technology remain unchanged, each of these production functions represents a different level of the capital stock. Fill in the table with the curve that corresponds to each of the capital stock levels described. Levels of Capital Stock This corresponds to which curve? (PF1, PF2, PF3) Highest Middle Lowest Fill in the blank: The slope of the line connecting the origin to point B is __________ (options: flatter, steeper) than the slope of the line connecting the origin to point A, because the slope of such a line is equivalent to ___________ (options: productivity, the marginal physical product of labor, marginal cost).