Consider Alexei who makes $1,400 per week and just won a 'set for life lottery ticket which involves a fortnightly payment of $10,000 for 20 years. Currently he works 35 hours per week. Now do the following: Illustrate the effect of the lottery win on Alexei's budget constraint using a fully labelled diagram where i) the horizonta axis represents the hours of free time per week and ii¡ the vertical axis represents Alexeis weekly consumption Illustrate on the same diagram Alexei's optimal decsions before and after the lottery win along with his indifference curves. Based on your diagram, discuss whether Alexei will quit his job.
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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.Garfield enjoys pizzas and hanging out (leisure). He sleeps 8 hours per day. Of the remaining16 hours, for each hour he chooses to work he gets paid 2 pizzas. Garfield must pay 6 pizzas intaxes but receives dividends equivalent to 6 pizzas.1. Draw Garfield’s budget constraint (put consumption on the vertical axis and leisure of thehorizontal). Make sure to show the vertical and horizontal intercepts as well as the slope.b. Now suppose that Garfield chooses to work 10 hours per day. Find how many hoursof leisure and how many pizzas he will consume.c. Using your answer from b, show Garfield’s optimal point on the budget line and drawthe indifference curve passing from that point.4. Suppose that Garfield’s wage falls to 1 pizza per hour. Draw Garfield’s new budgetconstraint. Make sure to show the value of any intercept that has changed.5. Suppose that in response, Garfield decides to work for 6 hours per day. How much leisurewill he take, and how much pizza will he consume?6. Use an…Garfield enjoys pizzas and hanging out (leisure). He sleeps 8 hours per day. Of the remaining16 hours, for each hour he chooses to work he gets paid 2 pizzas. Garfield must pay 6 pizzas intaxes but receives dividends equivalent to 6 pizzas.1. Draw Garfield’s budget constraint (put consumption on the vertical axis and leisure of thehorizontal). Make sure to show the vertical and horizontal intercepts as well as the slope.b. Now suppose that Garfield chooses to work 10 hours per day. Find how many hoursof leisure and how many pizzas he will consume.c. Using your answer from b, show Garfield’s optimal point on the budget line and drawthe indifference curve passing from that point.4. Suppose that Garfield’s wage falls to 1 pizza per hour. Draw Garfield’s new budgetconstraint. Make sure to show the value of any intercept that has changed.5. Suppose that in response, Garfield decides to work for 6 hours per day. How much leisurewill he take, and how much pizza will he consume?6. Use an…
- Consider Alexei who makes $1,400 per week and just won a ‘set for life’ lottery ticket which involves a fortnightly payment of $10,000 for 20 years. Currently he works 35 hours per week. Now do the following: • DRAW A DIAGRAM that shoes the effect of the lottery win on Alexei’s budget constraint using a fully labelled diagram where i) the horizontal axis represents the hours of free time per week, and ii) the vertical axis represents Alexei’s weekly consumption. (this is the only information provided)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.Suppose there are two inputs for production, labor and capital. The firm’s production process isdefined by the following production functiony=f(L,K).Howdoweinterpretthefirm’smarginalrateof technical substitution? a)How many units of capital the firm would have to give up in order to attain one more unit oflabor, such that the firm maintains the same cost level b)How many units of capital the firm would have to give up in order to attain one more unit oflabor, such that the firm produces one more unit of output c)How many units of capital the firm would have to give up in order to attain one more unit oflabor, such that the firm maintains the same level of production d)a) and b) are correct e)a) and c) are correct
- Ana decides every day how many hours to work and how much beef to consume. She spends all income earned from work each day on consumption of beef. Her utility function for free time (t, 24 hours minus hours worked) and consumption (y) is: U(t,y)=2t^1/2 + y The price per unit of beef consumed is 4 and her hourly wage is 1. Using a diagram and appropriate algebra, explain what Ana’s optimal number of hours work and units of beef consumed are each day. Ana reads a book about the impact of beef consumption on climate change and realises that there is a cost to society of her beef consumption. She takes account of this impact on society in her own decisions, incorporating a disutility of -0.03y per unit of beef consumed. She still only consumes beef and spends all income earned each day on this consumption. Explain, using a diagram and appropriate algebra, how recognition of the impact of her consumption choice on climate change impacts on Ana’s daily free time and beef…(Short Answers) 1. Jie works in a university. He can work as many hours as he wishes at a wage rate of w. Let C be the number of dollars he has to spend on consumption and let R be the number of hours of leisure that he chooses. Assume that Jie has the utility function U(C, R) = In(C) + In (R). He carms $4 per hour and has 80 hours per week to devote to labor or leisure, and has no income from sources other than labor. a) How many consumptions does he choose? How many hours of leisure does he choose? b) Suppose that Jie's wage rate will rise to $6 per hour from next year. How many hours of leisure per week will he choose next year? You are required to decompose his change in demand into the substitution effect, ordinary income effect and endowment income effect. c) Suppose that Jie will get $4 per hour for the first 35 hours that he works and $6 per hour for every hour beyond 35 hours a week from next year. How many hours of leisure per week will he choose next year?The consumer choice is not restricted to the choice of consumptiongoods. In fact, it can apply to all our decisions that involve trade-offs. Suppose Mary has awage per hour of 10 euros. With her earned income she consumes. That isC=wH per day.She also decides how many hours to work of take leisure time each day.H=24-N, whereHis work and N is leisure. Her utility is given by (picture) Solve for the optimal decision of labor/leisure. Plot the budget constraint and the indif-ferent curve. What is the labor supply function?
- George enjoys bananas and leisure. He sleeps 8 hours per day. Of the remaining 16 hours, for each hour he works he is paid 2 bananas. He also receives 6 bananas in dividends but has to pay 6 bananas in taxes. Draw George’s budget constraint (put consumption on the vertical axis and leisure on the horizontal). Make sure to show the vertical and horizontal intercepts as well as the slope. Now suppose that George chooses to work 6 hours per day. Find how many hours o f leisure and how many bananas he will consume, and show his optimal choice on the budget line using an indifference curve. Suppose that the government uses some of the taxes to give back to George income assistance of 4 bananas. Show the impact of the measure on George’s budget constraint Use an indifference curve to show George’s new optimal allocation and explain what will happen to his consumption of bananas and leisure if both are normal goods. The graphs below shows the behaviour of consumption of durables and…George enjoys bananas and leisure. He sleeps 8 hours per day. Of the remaining 16 hours, for each hour he works he is paid 2 bananas. He also receives 6 bananas in dividends but has to pay 6 bananas in taxes. Draw George’s budget constraint (put consumption on the vertical axis and leisure on the horizontal). Make sure to show the vertical and horizontal intercepts as well as the slope. Now suppose that George chooses to work 6 hours per day. Find how many hours o f leisure and how many bananas he will consume, and show his optimal choice on the budget line using an indifference curve. Suppose that the government uses some of the taxes to give back to George income assistance of 4 bananas. Show the impact of the measure on George’s budget constraint Use an indifference curve to show George’s new optimal allocation and explain what will happen to his consumption of bananas and leisure if both are normal goods. The graphs below shows the behaviour of consumption of durables and…Shelly’s preferences for consumption and leisure can be expressed as U(C, L) = (C - 200) * (L - 80) This utility function implies that Shelly’s marginal utility of leisure is C - 200 and her marginal utility of consumption is L - 80. There are 168 hours in the week available to split between work and leisure. Shelly earns $5 per hour after taxes. She also receives $320 worth of welfare benefits each week regardless of how much she works. a. Graph Shelly’s budget line. b. What is Shelly’s marginal rate of substitution when L = 100 and she is on her budget line? c. What is Shelly’s reservation wage? d. Find Shelly’s optimal amount of consumption and leisure.