1. Let Amy derive utility each from housing, h, and a consumer good, z, with the following utility function: 1/ 2/ U=h¾/³₂¾3 M 2M Her Mashallian demand equations are the following: h=; and z: 3ph 3p₂ Amy lives in a city where everyone works downtown. While her income is $160 per month, her commute cost (bus pass) costs her $40 per month, so she only has $120 to spend on h and z. (we assume no time cost of the commute) The consumer good, z, has a price of $1 and the price of her housing, h, is $2 per unit. a. What is her quantity demanded of h and z and what level of utility is she

1. Let Amy derive utility each from housing, h, and a consumer good, z, with the following utility function: 1/ 2/ U=h¾/³₂¾3 M 2M Her Mashallian demand equations are the following: h=; and z: 3ph 3p₂ Amy lives in a city where everyone works downtown. While her income is $160 per month, her commute cost (bus pass) costs her $40 per month, so she only has $120 to spend on h and z. (we assume no time cost of the commute) The consumer good, z, has a price of $1 and the price of her housing, h, is $2 per unit. a. What is her quantity demanded of h and z and what level of utility is she

Economics: Private and Public Choice (MindTap Course List)

16th Edition

ISBN:9781305506725

Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson

Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson

Chapter20: Consumer Choice And Elasticity

Section: Chapter Questions

Problem 4CQ

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Janie works for an accounting firm. Her wage increased from $30 per hour to $40 per hour. She can work up to 50 hours each week. The table below shows her utility from different levels of leisure and income. Before her raise, if Janie decreases her hours of work from 30 to 20 hours per week, the marginal utility gain from having more leisure is: Hours of Leisure Total Utility from Leisure Income Total Utility from Income 0 0 0 0 10 29 300 40 20 54 400 72 30 75 600 96 40 86 800 108 50 92 900 116 1200 120 1500 122 1600 124 2000 125 Question 4 options: 29 21 13 7
Currently, Paula is maximizing utility by purchasing 5 TV dinners (T) and 4 Lean Cuisine meals (L) each week. Graph Paula’s initial utility-maximizing choice. Suppose that the price of T rises by $1 and the price of L falls by $1.25. Can Paula still afford to buy her initial consumption choices? What do you know about her new budget constraint? Use your graph to show why Paula will choose to consume more L and less T given her new budget constraint. How do you know that her utility will increase? Some economists define the ‘‘substitution effect’’ of a price change to be the kind of change shown in part c. That is, the effect represents the change in consumption when the budget constraint rotates about the initial consumption bundle. Precisely how does this notion of a substitution effect differ from the one defined in the text? If the substitution effect were defined as in parts, how would you define ‘‘the income effect’’ to get a complete analysis of how a person responds to a…
do you agree that we have such a diminishing marginal utility of income just like we have a diminishing marginal utility when we consume more of a good or service e.g, the marginal utility of of your 12th pair of shoes is probably zero or close to zero? second in your estimation, at what level of income will the marginal utility of income start to diminish? do you think other people will agree with you? why? finally, does the diminishing marginal utility of income provide a sound theoretical basis for redistributive policies like our progressive system of taxation?
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Terry attends college and works part-time in a drug store. She can work up to 40 hours each week and is paid $9 per hour. The following table shows her utility from different levels of leisure and income. Hours of Leisure Total Utility from Leisure Marginal Utility of Leisure Work Hours Income Total Utility from Income Marginal Utility from Income 5 18 0 5 45 35 0 10 34 3.2 10 90 59 0.53 15 48 2.8 15 135 77 0.4 20 56 1.6 20 180 86 0.2 25 60 0.8 25 225 92 0.13 30 65 1 30 270 98 0.13 35 69 0.8 35 315 103 0.11 40 72 0.6 40 360 107 0.03 Terry decides to increase her work hours from 20 to 25 hours per week. What would be her marginal utility loss from having less leisure time? 6 What would be her marginal utility gain from having an additional income? 13 What will be her total utility from both leisure and income when working 25 hours…
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5. Janice consumes two goods, X and Y. Janice has a utility function given by the expression: U=4X05Y05 and current prices of X and Y are $25 and $50, respectively. Janice currently has an income of 750 unit per time period. a. Write an expression for Janice's budget constraint. b. Calculate the marginal rate of substitution of X for Y. (horizontal line X, vertical line Y). c. Calculate the values of X and Y that will maximize utility. d. Graph your answers (budget line, indifference curve)
7. Bob receives utility from days spent traveling on vacation domestically (D) and daysspent traveling in a foreign country (F) as given by the utilityU(D; F) = DFThe price of a day spent traveling domestically is 160 pounds and in a foreigncountry 200 pounds. Bobís annual budget for traveling is 8000 pounds. (a) Find Bobís utility maximising choice of days traveling domestically and of daystravelling in a foreign country. Find also his utility level from consuming thatbundle. Suppose that the price of domestic traveling increases to 250 pounds per day.Denoting his budget for traveling x, (suppose by now that it is unknown) findthe demand for D and F under the new prices as a function of x.
Terry attends college and works part-time in a drug store. She can work up to 40 hours each week and is paid $9 per hour. The following table shows her utility from different levels of leisure and income. Hours of Leisure Total Utility from Leisure Marginal Utility of Leisure Work Hours Income Total Utility from Income Marginal Utility from Income 5 18 0 5 45 35 0 10 34 3.2 10 90 59 4.8 15 48 2.8 15 135 77 3.6 20 56 1.6 20 180 86 1.8 25 60 0.8 25 225 92 1.2 30 65 1 30 270 98 1.2 35 69 0.8 35 315 103 1 40 72 0.6 40 360 107 0.8 Terry decides to decrease her work hours from 20 to 10. What would be her marginal utility gain from having additional leisure time? What would be marginal utility loss from less income? What will be her total utility from both leisure and income when working 10 hours per week? Does it make sense from the…