Increases in nonwage income: Select all that apply (can be more than one answer) o are shown as a parallel shift upwards of the home production and market work budget constraints o have no effect on other members of the household o are shown by an increase in w in the equation pC = wT + V o will always increase both consumption and leisure
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- 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 that a person has 2000 hours to allocate each year between leisure and work. a. Derive the equation of his budget constraint given an hourly wage of $(15)/hour. b) Graph his budget constraint line based on the equation you derived in part a. (Consumption (C) on the vertical axis and leisure (L) on the horizontal axis). Please make sure to include the value for the vertical and horizontal intercepts. c) Now suppose that the local government introduces an income guarantee program for single parents in which the income transfer is $10,000 per year if an individual does not work during that year (this dollar amount represents the benefit guarantee). If the individual decides to work, this transfer program imposes a 100% benefit reduction rate (e. g.. each additional hourly wage earned is reduced by 100%). Derive the new budget constraint equation that corresponds to this scenario. d) Draw the budget line that corresponds to the new scenario on a new graph. (Consumption (C) on the…CEC 201-Microeconomics notes 2020 (Compatibility Mode] Microsoft PowerPoint (Product Activation Fam tions Side Show Review View IA Text Direction |A^|ラ|ミ.m.一青奇 Align Text- AL1令4凸 ALL9 abe AV. Aa-| A.|E喜州 Convert to SmartArt Font Paragraph Cont... • Consumers satisfaction depends only on his incon and leisure • Problem is to max U=u(L,Y) Subject to time constraint Y=w(24-L) Solution Set lagrangian equation Z=u(L,Y) - ^ (Y-w(24-L) • 1st order conditions for maximization requires: o dZ/dL = %3D o DZ/dY = o DZ/d% = %3D • 2nd order conditions for maximization requires • Assignment e Pa f5 f6 ) f7 f8 f9 f10 |米 f11 & 8. 5 7 8. Infinix HOT 10 Y 5
- cook -int ences a) Chika has calculated the marginal utility that she derives from her paid employment and from leisure. This is presented in table below. In her ideal world, where she could work as few or as many hours as she wished, how would she allocate her sixteen waking hours? (She does need to sleep.) Hours 1 2 3 4 5 6 7 8 9 10 MU Paid Employment 80 75 70 65 60 55 50 45 40 35 MU Leisure 120 110 100 90 80 70 60 50 40 30 9 hours working and 40 hours leisure. b) Unfortunately, Chika begins to realize that unless she gets an education she will not enjoy a high salary and therefore, will not be able to afford more leisure time. She therefore decides to spend six hours each day studying (in addition to her eight hours of sleep). How will she now divide the remaining hours between work and leisure?! hours working and hours leisure. Help Save CFor this question, assume that indifference curves are strictly convex, consumption andleisure are normal goods, and the optimal amounts of consumption, leisure, and labor arealways positive. A wage increase ______. (SE = substitution effect; IE = income effect)(a) increases labor supply via the SE and decreases labor supply via the IE(b) decreases labor supply via the SE and decreases labor supply via the IE(c) increases labor supply via the SE and increases labor supply via the IE(d) decreases labor supply via the SE and increases labor supply via the IE(e) Can’t tell without knowing the utility functionSelect below the answer that best completes the sentence. When an individual decides to allocate their time between labour and leisure, the opportunity cost of leisure is due to the fact that: O leisure reduces how much time left the individual has for consumption. O every hour of leisure is an hour not earning labour income. O leisure decreases the marginal utility of consumption. O most leisure activities are costly.
- 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?ASAPMy 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
- what is the budget line for consumption and leisure if a person faces a constant wage of $5 per hour , there are 168 hours in the week to work,and she received non-labor income of 200 per weekJuan is currently working in a job that pays $25 an hour and he chooses to work 8 hours per day. Assume that Juan can work a maximum of 16 hours a day, and he has complete flexibility in how many hours a day he works. Illustrate Juan’s budget constraint and his optimal choice of consumption and leisure. What is the slope of his budget constraint? What does this slope represent? (As on any graph you draw, make sure that you label the axes, the intercepts and the optimal choice.) Juan begins receiving a government transfer payment of $100 per day. Add his new budget constraint to your graph in (a) and show his new optimal choice. Does he choose more or less consumption? More or less leisure? Explain why for both goods. The government imposes a tax of 25% on Juan’s earnings from work and increases his government transfer to $150 per day (the government transfer payment is not taxed.) Redraw the budget constraint from part (b) (omit the part (a) budget constraint), and add a new budget…Income $240 $192 0 15 16 17 a) Using the above diagram, decompose the effect of a wage decrease for this individual into Income Effect (IE) and Substitution Effect (SE). Leisure 24 b) How many hours of work is effected because of the IE? c) How many hours of work is effected because of the SE? d) What is the net effect of this wage decrease on hours of work for this individual?