Consider worker 1 with non-labour income Y facing a wage offer w and a utility function defined over consumption and leisure. U(c,l) = lnC + 4lnl 1) Compare worker 1 with worker 2 whose utility function is described by U(c,l) = cl. Which worker places a higher value on labour market work?
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Consider worker 1 with non-labour income Y facing a wage offer w and a utility function
defined over consumption and leisure. U(c,l) = lnC + 4lnl
1) Compare worker 1 with worker 2 whose utility function is described by U(c,l) = cl. Which worker places a higher value on labour market work?
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- Consider worker 1 with non-labour income Y facing a wage offer w and a utility function defined over consumption and leisure. U(c,l) = lnC + 4lnl Give that the Slutsky equation holds for this worker.To which of the following job characteristics could the hedonic wage function be applied? a. the degree to which a job involves monotonous work b. the degree to which the area surrounding the job location is safe c. the degree to which a job involves strenuous work d. the probability of being injured on the job e. All of these can be represented with a hedonic wage function.Suppose that following represents the utility function of the individual U(c,l)=log(c)+log(l) c = consumption level of the individual and l = leisure, while the market wage is 10 and available time is 20. 1) Find and draw the labor supply function. 2) Suppose that the government introduces a cash grant for the labor (who is in the labor force) in the amount of R. Find and draw the labor supply function? Compare it to the labor supply function you have found in a). 3) Discuss the existence of reservation wage in the settings described in a and b? If your answer is : “there are no reservation wages under those settings”, please introduce a change in the policy described in b) to make sure that the reservation wage would exist.
- Q3. Consider a utility function with one consumption good q1 and one type of leisure q2a) Derive complete labour supply function.b) Under what condition the labour supply curve will be negatively sloped.Suppose there are two identical job offers in the same competitive labor market for a software developer position. Both offers have the same salary of $80,000 per year. However, Job A allows the employee to work from home, while Job B requires the employee to commute to the office daily. The average monthly commuting cost for Job B is estimated to be $400. Calculate the compensating differential in this scenario, and determine if it makes economic sense for the employee to choose Job B over Job A. Assume a working year consists of 12 months.Consider worker 1 with non-labour income Y facing a wage offer w and a utility function defined over consumption and leisure. U(c,l) = lnC + 4lnl a) Compare worker 1 with worker 2 whose utility function is described by U(c,l) = cl. Which worker places a higher value on labour market work? b) Suppose the worker participates in the labour market. Derive worker’s compensated labor supply function and the compensated labour supply elasticity with respect to wage as a function of utility level and wage. c) Derive worker’s uncompensated labour supply function (for labour market participants and non-participants) and the uncompensated labour supply elasticity (for labor market participants) with respect to wage as a function of non-labour income and wage.
- Show that the competitive labor market compensates workers for the probability that they will be laid off.Consider a worker who is endowed with T hours of time and investment income V per week, faces a wage rate w per hour, and whose preferences over the consumption of goods, the price of a unit of which is p, and leisure can be represented by the utility function U(C,L) = C1/2L1/2. Find the worker’s labour supply. When is it positive? Will the worker ever work more than half their time endowment? (25%)Consider worker 1 with non-labour income Y facing a wage offer w and a utility function defined over consumption and leisure. U(c,l) = lnC + 4lnl Queston: Show that the Slutsky equation holds for this worker
- The absolute value of the slope of the consumption-leisure budget line is the after-tax wage, w. Other workers earn w for up to 40 hours of work each week, and then w thereafter as at a second job which pays the same hourly wage as than their primary job. Assume a worker has 168 hours per week and chooses to work 40 hours at the primary job and does not work at a second job. Graph the worker’s budget line and leisure and income at the utility-maximizing level. Assume the primary employer offers the worker an opportunity to earn time-and-a-half working overtime. The overtime pay kicks in after the employee works 40 hours. Graph the old and new budget line and indicate both the number of hours worked and the income earned.A worker has 110 hours available in a week that can be used for leisure (L) or work (h). The utility function is U = (1 - α)ln(C) + α ln(L), where C is consumption. a) The price per unit of consumption is 1, the hourly wage is w, and the worker has a non-labor income of V. Show that the labor supply is: h* = (110(1-a)- (av)/w). Also, find the demand for consumption and leisure. b) What is the effect on labor supply of i) an increase in the hourly wage and ii) an increase in non-labor income? c) Set α = ½. What are C, L, and h when w = 200 and V = 10000? What is the reservation wage? d) What is the effect on labor supply of i) a 30% income tax and ii) a 10% wealth tax (on V)? e) What is the labor supply if V increases to 11600? f) An increase in V to 11600 gives the worker the same utility as w = 250 and V = 10000 (you do not need to show it). What are the income, substitution, and total effects on labor supply of an increase in wage from 200 to 250 while V remains at 10000?…All individuals have the same utility function over consumption, C, and leisure, L, given by U = C1/3L2/3, Denote the wage rate by w. The total time available for labour and leisure is equal to 12. The price of consumption is PC=1. Denote the amount of labour supplied as N. Find the Labour supply function.
