True or False. Explain why. Deniz’s preferences for consumption and leisure is as follows: U(C,L)=C2L Deniz has 100 hours in the week available to split between work and leisure. She earns $10 per hour after taxes. She also receives $260 worth of welfare benefits each week. Deniz’s optimal amount of leisure time will be 45 whereas labour supply will be 55.
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True or False. Explain why.
Deniz’s preferences for consumption and leisure is as follows:
U(C,L)=C2L
Deniz has 100 hours in the week available to split between work and leisure. She earns $10 per hour after taxes. She also receives $260 worth of welfare benefits each week. Deniz’s optimal amount of leisure time will be 45 whereas labour supply will be 55.
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- 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.Illustrate (using a labor-leisure choice diagram) how a firm may induce a typical employee to lengthen his work week voluntarily by paying him premium wage rates for overtime hours.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.
- 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.What is two factors that may influence the shape of individuals’ indifference curves (flat or steep) which reflect their preferences for work or leisure? What is the difference between income effect and substitution effect under the basic work-leisure decision model?The weekly preferences over consumption (C) and leisure(L) are defined by u(C, L) = √C + 3√L. The person receives a weekly allowance of m from The hourly wage is $18 per hour, and the person can work up to50 hours each week (T = z + L = 50), where z is the number of hours spent working). a)How many hours will the person work if her allowance is m= $450 per week b) What is the smallest allowance m for which the person will stopworking altogether (z∗ = 0) for a wage of w = 18?
- Suppose the wage you are being paid per hour doubles form $15 to $30. Would you decide to work more hours or fewer hours ? Is there an income and substitution effect involved in your decision about how many hours you choose to work? If so, what is being substituted for what?people may chose to ofer less work at higher wages because the utility of lesier increases because of the income generated by higher wages. leading the workernto chose lesier over work true falseSuppose that the owner of Boyer Construction is feeling the pinch of increased premiums associated with workers’ compensation and has decided to cut the wages of its two employees (Albert and Sid) from $23 per hour to $20 per hour. Assume that Albert and Sid view income and leisure as “goods,” that both experience a diminishing rate of marginal substitution between income and leisure, and that the workers have the same before- and after-tax budget constraints at each wage. Albert and Sid's opportunity set is presented below: "The horizontal axis labeled leisure hours ranges from 0 to 30 in increments of 5. The vertical axis is labeled income. A line begins at point A on the vertical axis goes down to the right and ends at the point (25, 0)." What is the value of A when the wage is $23? (Assume a 24-hour work day.) What is the value of A when the wage is $20? (Assume a 24-hour work day.) At the wage of $23 per hour, both Albert and Sid are observed to consume 13 hours of…
- 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?…Consider the utility function for a worker according to leisure, l, and consumption, c: where consumption has the price p and the wage has the price w. The state can implement an income tax, t, for the worker where 0 < t < 1 such that his after-tax hourly wage is w(1 - t). What is the biggest tax revenue that the state can get?Does a “rational” individual always reduce labour supply in response to a proportionalincome tax? Why or why not? Use the labour-leisure model to illustrate your response.