Consider a two-sector economy that employs a total of 105 units of a single input, labor. Nyof these units are allocated to sector 1, where the wage is 90 for the top five workers in that sector and zero for all others. (Both the wage for the top workers and the number who receive that wage are invariant to changes in Ng) The remaining N2 105 - Nj units of labor serve in sector 2, where every worker receives a wage of 10. All workers in sector 1 have an equal probability of being among the top five workers, 6/Ng and all workers are risk neutral. Instructions: Round your answers to the nearest whole number. a. How many workers will work in sector 1? b. What will be the value of GNP for the economy? GNP= c. How would your answers differ if there were a 50% tax on the earnings of workers in sector 1? Workers in sector 1: GNP:

Consider a two-sector economy that employs a total of 105 units of a single input, labor. Nyof these units are allocated to sector 1, where the wage is 90 for the top five workers in that sector and zero for all others. (Both the wage for the top workers and the number who receive that wage are invariant to changes in Ng) The remaining N2 105 - Nj units of labor serve in sector 2, where every worker receives a wage of 10. All workers in sector 1 have an equal probability of being among the top five workers, 6/Ng and all workers are risk neutral. Instructions: Round your answers to the nearest whole number. a. How many workers will work in sector 1? b. What will be the value of GNP for the economy? GNP= c. How would your answers differ if there were a 50% tax on the earnings of workers in sector 1? Workers in sector 1: GNP:

Survey Of Economics

10th Edition

ISBN:9781337111522

Author:Tucker, Irvin B.

Publisher:Tucker, Irvin B.

Chapter10: Labor Markets And Income Distribution

Section: Chapter Questions

Problem 3SQP

See similar textbooks

Similar questions

F (L, K) = L0.2K0.7， The wage rate (price per unit of labour) is w = 2 and the capital rental rate (price per unit of capital) is r = 7. Derive the equation of the isoquant for y = 2 (with K in the vertical axis and L in the horizontal axis). Use the first and second derivative to show that this curve is decreasing and convex. Provide a graphical representation of the isoquant indicating at least one combination of labour and capital in this curve.
Cowles Foundationfor Research in Economicsat Yale UniversityCowles Foundation Discussion Paper No. 2021ARE WE APPROACHING AN ECONOMIC SINGULARITY?INFORMATION TECHNOLOGY AND THE FUTUREOF ECONOMIC GROWTHWilliam D. NordhausSeptember 2015An author index to the working papers in theCowles Foundation Discussion Paper Series is located at:http://cowles.yale.edu/This paper can be downloaded without charge from theSocial Science Research Network Electronic Paper Collection:http://ssrn.com/abstract=2658259Electronic copy available at: http://ssrn.com/abstract=2658259Are We Approaching an Economic Singularity?Information Technology and the Future of Economic GrowthWilliam D. Nordhaus1September 1, 2015AbstractWhat are the prospects for long-run economic growth? The presentstudy looks at a recently launched hypothesis, which I label Singularity.The idea here is that rapid growth in computation and artificialintelligence will cross some boundary or Singularity after whicheconomic growth will…
Suppose a firm’s hourly marginal product of labor is given by MPN = A (200 – N) If A = 0.2 and the real wage rate is $10 per hour, how much labor will the firm want to hire? Suppose the real wage rate rises to $20 per hour. How much labor will the firm want to hire? With the real wage rate at $10 per hour, how much labor will the firm want to hire if A rises to 0.5?
Let a firm's production function Q (L)=12L^2-1/20L^3 (i.e. output as TL orthe amount of production depends on the workforce, L, as Q is the number of people with a single production input). This functionlet be the foreground 0 ≤ L ≤ 200 for. Accordingly,A) What is the number of labour force (L*) that will make output (Q) the highest?B) what is the number of workers (L**) who will make the maximum amount of output per employee(i.e. Q (L)/L)?c) in both cases the output of the L* and L** values you find and the output per employee at the mosthow can you be sure it's high? Show me.
In the context of a perfectly competitive model of the labour market, an increase in technologythat raises the marginal product of labour at any given level of employment would be expected, inequilibrium, toa) reduce the amount of labour required to produce a given amount of output and hence increaseunemployment.b) shift the labour demand curve outwards and lead to an increase in employment and wages.c) have no effect upon labour supply or labour demand curves and hence have no impact onemployment or wages.d) reduce the supply of labour to the market and result in an increase in wages but a fall inemployment Why the correct answer is B?
hy does a measure of labor productivity—the output produced per worker– rise for many firms during recessions? During the boom years period of 2005through November 2007, the annual average output per worker was lower in U.S.manufacturing than during the Great Recession of 2007–2009 as well during therelatively low-demand years since then through 2013.Firms produce less output during recessions as demand for their products falls.Consequently, firms typically lay off workers during recessions. Thus, whetheroutput per worker rises or falls depends on whether output or employment fallsby more. The labor productivity pattern over the business cycle differs across in-dustries. If we know about a firm’s production process, can we predict whetheroutput produced per worker will rise or fall with each additional layoff?
Q1. Suppose we are given the constant returns-to-scale CES production function q = [k + l]1/ where krepresents capital and l represents labora. Show that MPk = (q/k)1 and MPl = (q/l)1 .b. Show that RTS = (k/l)1 ; use this to show that elasticity of substitution between labor and capital= 1/(1 – ).c. Determine the output elasticities for k and l; and show that their sum equals 1.Note: Output elasticity measures the response of change in q to a change in any input.Elasticity of output wrt k is eq,k = %q/%k = (q/k)*(k/q) or (q/k)*(k/q) or lnq/lnkSimilarly for elasticity of output wrt l, eq,ld. Prove that q/l = (q/l) and hence that ln(q/l) = ln(q/l)Q2. Suppose the production of airframes is characterized by a CobbDouglas production function: Q =LK. The marginal products for this production function are MPL = K and MPK = L. Suppose the price oflabor is $10 per unit and the price of capital is $1 per unit. Find the cost-minimizing combination of labor and capital if the manufacturer wants to…
A firm spends 1.000 pesos regardless of how much output is produced. Every worker hired by the firm receives a wage of 1,200 pesos. We also know that: L TP AP MP TFC TVC TC AFC AVC AC MC 0 0 1 50 2 104 3 162 4 224 5 282 6 336 7 386 8 432 9 474 10 512 11 546 12 576 13 602 14 624 15 640 Where L =…
A firm spends 1.000 pesos regardless of how much output is produced. Every worker hired by the firm receives a wage of 1,200 pesos. We also know that: L TP AP MP TFC TVC TC AFC AVC AC MC 0 0 1 50 2 104 3 162 4 224 5 282 6 336 7 386 8 432 9 474 10 512 11 546 12 576 13 602 14 624 15 640 Where L =…
Sally is single. Her income rises because of her wise stock investments, but her wage rate stays the same. In the labor supply model that replaces "leisure" with "household production time," the increase in income will likely....Select one:OA. increase work hours as her higher income allows her to buy goods that make her more efficient in thehousehold.OB. decrease work hours as she spends more time in the household consuming more commodities.OC.decrease work hours because higher income people get more pleasure from working than being inthe household.OD. increase work hours as she spends less time in the household consuming more commodities.
Suppose a firm’s technology requires it to hire 100 workers regardless of the wage level. The firm, however, has found that worker productivity is greatly affected by its wage. The historical relationship between the wage level and the firm’s output is given byWage Rate Units of Output$ 8.00 65$10.00 80$11.25 90$12.00 97$12.50 102What wage level should a profit-maximizing firm choose? What happens to the efficiency wage if there is an increase in the demand for the firm’s output?
Q. 1. For this question, assume that Y = N. Based on our understanding of the labour market model presented in Chapter 6, we know that a reduction in the markup will cause: Select one : O. a. no change in the natural level of output. O. b. no change in the natural level of employment. O.c.an increase in the natural level of output. O.d. a reduction in the natural level of output. O. E. reduction in the natural level of employment Q. 2 Assume that investment does NOT depend A reduction in government spending will cause which of the following for this economy? Select one: O.a. an increase in investment Ob. a decrease in investment O.c. No change in the interest rate. O.d. No change in output. O.e No change in investment Q. 3 Based on our understanding of the labour market model presented in Chapter 6, we know that a reduction in the markup will cause: Select one: O. a. an increase in the equibrium real wage O. b. a reduction in the equilibrium real wage. O. c. a…