Suppose Billy is endowed with non-labor income of $1oo, and 40 hours to allocate between leisureand work. Assume he can earn $8 an hour in the labor market. As in class, assume the price of thecomposite consumption goodCis $1 per unit. Suppose Billy's utility function isu(R, C) =R2C,whereMUR= 2RCandMUC=R2. (a)Draw a graph of Billy's budget constraint and endowment bundle (make sure to label all axes,intercepts, bundles, slopes, etc.). (b)Solve for Billy's optimal bundle(R?, C?).

Hannah’s wage rate is initially $10 per hour and she maximises her utility by supplying 8hours of work. Subsequently, her wage rate increases to $15 per hour and her newequilibrium position corresponds to 9 hours of work. It is noted that the income effect (IE)causes the labour supply to change by 1 hour and the substitution effect (SE) causes thelabour supply to change by 2 hours. How to draw in diagram, to show the IE and SE?

Consider Alexei who makes $1,400 per week and just won a ‘set for life’ lottery ticket whichinvolves a fortnightly payment of $10,000 for 20 years. Currently he works 35 hours per week. Nowdo the following:• Illustrate the effect of the lottery win on Alexei’s budget constraint using a fully labelleddiagram where i) the horizontal axis represents the hours of free time per week, and ii) thevertical axis represents Alexei’s weekly consumption.• Illustrate on the same diagram Alexei’s optimal decisions before and after the lottery winalong with his indifference curves.

Suppose Jenny has 16 hours per day to allocate between work and leisure and she earns a wage rate of $25 per hour. If at the utility-maximizing level of employment (i.e., MRSy; = w), Jenny's MUy is 20 utils, what is her MUl? O A. 1.25 utils O B. 0.8 utils O C. 500 utils O D. Cannot be determined with the information provided.

My Moodle My Favou tion 6 An individuals utility function is given by ret rered U = 340x1 + 960x2 + 2x1x2 – 2a- a/2, ed out of when the weekly amount of leisure is x1 132 and earned income is 12 = 760 answer the following: 1. The marginal utility of x1 is ag tion 2. The marginal utility of x2 is 3. Use the small increments formula to estimate the change in the utility when r1 decreases by 1 and x2 increases by 4. The change = 4. Does the law of diminishing marginal utility hold? 5. The MRCS at a given values is Enter non-integer numerical values as decimals to at least 3 decimal places. Note: you must use a. and not , for a decimal point. Next page revious page Mock paper ► - Working from video in SVG Jump to... format

)ncob buys only milk and cookies.a. In yeor 1, Jocob earns $100, milk costs $2 perqua rt, and cooki es cost S4 per dozen. Ora\"•jacob's budget constraint.b. Now suppose that a ll prices increase by10 percent in yeor 2 ond !hot jacob's salaryincreases by 10 percent as well. Draw jacob'sn<:w budget constraint. How would Jacob'soptimnl combination of milk and cookies in year 2compare to his optimal combination in year 17

According to the Wall Street Journal, Mitsubishi Motors recently announced a major restructuringplan in an attempt to reverse declining global sales. Suppose that as part of the restructuring planMitsubishi conducts an analysis of how labour and capital are used in its production process. Priorto restructuring Mitsubishi’s marginal rate of technical substitution is 0.15 ( in absolute value). Tohire workers. Suppose that Mitsubishi must pay the competitive hourly wage of US$ 15. In thestudy of production process and markets where capital is procured, suppose that Mitsubishidetermine that its marginal productivity of capital is 0.5 small cars per hour at its new targetedlevel of output and that capital is procured in a highly competitive market. The same studyindicates that the average selling price of Mitsubishi’s smallest car is US$ 9500. Determine therate at which Mitsubishi can rent capital and marginal productivity of labour at its new targetedlevel of output. To minimize costs…

Number Of Output Workers 1 50 110 300 4 450 590 665 700 8. 725 710 10 705 According to the above table, At what point does diminishing retums set in? O 4th labor 3rd labor O 1st labor O 2nd labor

Consider Justin who makes $1,400 per week and just won a ‘set for life’ lottery ticket whichinvolves a fortnightly payment of $10,000 for 20 years. Currently he works 35 hours per week. Nowdo the following: • Illustrate the effect of the lottery win on Justins budget constraint using a fully labelleddiagram where i) the horizontal axis represents the hours of free time per week, and ii) thevertical axis represents Justins weekly consumption. • Illustrate on the same diagram Justins optimal decisions before and after the lottery winalong with his indifference curves. • Based on your diagram, discuss whether Justin will quit his job.

Question Recently, the owner of KFC Franchise decided to change how she compensated hertop manager. Last year, the manager received a fixed salary of GHC50,000 and KFCmade GHC110,000 in profits (excluding the manager’s compensation). She fearedthat her store’s performance was connected to the top manager shirking on the joband expected that changes to her top manager’s compensation structure wouldimprove sales. Therefore, this year she decided to offer him a fixed salary of $40,000plus 5 percent of the store’s profit. Since the change, the store is performing muchbetter, and she forecasts profits this year to be $300,000 (again, excluding themanager’s compensation). Assuming the change of compensation is the reason for the increased profits, and the forecast is accurate, how much more money will theowner make (net of payment to her top manager) because of this change?Does the manager make more money under the new payment scheme?