Suppose your weekly allowance from your parents is $100 and your part-time job pays $10 per hour. The slope of the line plotting the relationship between the hours worked per week (the horizontal axis) and the income per week (the vertical axis) is $. (Enter your response as an integer.) Suppose you start with 10 hours of part-time work and then decide to increase your time working by 3 hour(s). By how much will your weekly income increase? - (Enter your response as an integer.) Suppose you start with 10 hours of work and then decide you need additional income of $20 per week. How many additional hours would you have to work? hours. (Enter your response as an integer.)
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- 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…What is the budget line for consumption (C) and leisure (L) if a person faces a constant wage of $12 per hour, there are 110 hours in the week to work, and she receives nonlabor income of $300 per week?Katie’s preferences for consumption and leisure can be expressed as U(C, L) = (C – 80) x (L – 40) This utility function implies that Katie’s marginal utility of leisure is C – 80 and her marginal utility of consumption is L – 40. There are 110 hours in the week available to split between work and leisure. Katie earns $15 per hour after taxes. She also receives $200 worth of assistance benefits each week regardless of how much she works. Graph Katie’s budget line. What is Katie’s marginal rate of substitution when L = 70 and she is on her budget line? What is Katie’s reservation wage? Find Katie’s optimal amount of consumption and leisure.
- Consider the following graph, which shows the relationship between an individual’s income and the number of times he or she eats out each month. Hint: When answering the following, be sure to specify the appropriate units. The blue point already shown on the graph shows the data for Cho. According to the graph, Cho’s income is ______ (options: $6000 per month, $6000, $12, $12 per month), and she has _____ (options: 12 dinners out per month, 6000 dinners out, 12 dinners out, 6000 dinners out per month). Suppose Cho’s friend Bob has an income of $3,000 per month and has 6 dinners out per month. Plot this on the graph.Terry’s utility function over leisure (L) and other goods (Y ) is U(L, Y ) = Y + LY. The associated marginal utilities are MUY = 1 + L and MUL = Y. He purchases other goods at a price of $1, out of the income he earns from working. Show that, no matter what Terry’s wage rate, the optimal number of hours of leisure that he consumes is always the same. (a) What is the number of hours he would like to have for leisure? Determine the MRS of leisure for labour (b) Draw a leisure-influenced labor curve2. Gorgeousleny purchased a combination of 15 breads and 5 juices with her income of P150 and price of bread is P6 and price of juice is P12. She proudly showed this to her mom, and to her dismay her mom said that she likes more juices than bread since its summer season. While on her way home she lost the receipt, but fortunately she can still receive store credit based from the total value of products. While approaching the customer service representative , she thought of this what if she sticks with her original plan of buying bread alone with no juice and vice versa. At the moment all juices in the store is 50% off. Draw the graph showing the budget constraints arise from endowments. a. ) Measure the qty. of bread on the vertical axis and the qty. of juice on the horizontal axis. Label both graph with its corresponding points, pt. A for bread and point B for juice. the combination of bread and juice label it as point C. b.) For both graph, What is the slope from point C…
- What is your marginal rate of substitution of $1 bills for $5 bills?Sharmila has no other source of income except for her job at a cozy restaurant in a well-known university that pays Rp.5/hour. Since she is such a good worker, her boss lets her choose how many hours she wants to work each week as long as it is between one and 20 hours. (a) Graph Sharmila’s weekly budget constraint. (b) How many hours must Sharmila work to cover her weekly rent and food expenses which total Rp.75/week? (c) If Sharmila get a raise to Rp.7.5/hour but chooses to still work only enough to cover her rent and food expenses, now how many hours must she work?Suppose Marcus eats nothing but burritos for dinner. He buys 30 burritos each month. During the last couple of weeks, Marcus noticed a decrease in the price of burritos. The price of burritos fell from $6.00 per burrito last month to $5.75 per burrito this month. Assume that Marcus has a fixed income of $180 that he can spend on burritos. How many burritos can Marcus afford to buy at the new price of $5.75?
- 3. First, do the following functions exhibit increasing, constant, or decreasing returns toscale? Why? Explain in detail. Second, calculate the marginal product of each factorand discuss what happens to the marginal product of each individual factor as that factoris increased and the other factor is held constant. a. q = 3L + 4Kb. q = (2L + 2K)1/3c. q = 2LK2d. q = L1/4K1/3e. q = 4L1/2 + 4KCurrentlyyouworkfor40hoursperweekatthewagerateof$20anhour.Your free hours are defined as the number of hours not spent in work per week, which in this case is 24 hours × 7 days − 40 hours = 128 hours per week. Suppose now that your wage rate has increased by 25%. If you are happy to keep your total weekly income constant, how many hours will you work? How many free hours will you have?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…