Consider the following diagram: FF (10% interest rate) FF (78% interest rate) Julia's 100 endowment 38 36 Julia's IC (higher utility) Julia's IC Julia's IC (through point F) Julia's IC (lower utility) 35 56 58 91 Consumption now (S) Select one or more: O a. If the interest rate is 10%, Julia will choose to borrow £91. O b. If the interest rate is 10%, Julia could borrow up to £91. O c. If the interest rate is 10%, Julia will need to pay the bank £58 in the second period. O d. If the interest rate is 78%, she will need to pay the bank $62, to the nearest dollar. Consumption later ($)

Consider the following diagram: FF (10% interest rate) FF (78% interest rate) Julia's 100 endowment 38 36 Julia's IC (higher utility) Julia's IC Julia's IC (through point F) Julia's IC (lower utility) 35 56 58 91 Consumption now (S) Select one or more: O a. If the interest rate is 10%, Julia will choose to borrow £91. O b. If the interest rate is 10%, Julia could borrow up to £91. O c. If the interest rate is 10%, Julia will need to pay the bank £58 in the second period. O d. If the interest rate is 78%, she will need to pay the bank $62, to the nearest dollar. Consumption later ($)

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter4: Utility Maximization And Choice

Section: Chapter Questions

Problem 4.2P

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Consider the diagram: FF (10% interest rate) FF (78% interest rate) Julia's 100 endowment 38 36 Julia's IC (higher utility) Julia's IC Julia's IC (through point F) Julia's IC (lower utility) 56 58 Consumption now (S) 35 91 Consumption later ($)
4. Peter's utility function is equal to: U (L, C) = LVC where L is hours of leisure time per day and C is daily consumption, denoted in €. When he is looking for a job as a consultant he finds the following possibilities: i) Working for "ABC of M", where he may get 100€ per day and 2h of leisure time per day ii) Working for "101 of M", where he may get 25€ per day and 4h of leisure per day iii) Working for "M for Dummies", where he may get 50€ per day and 3h of leisure per day Each day, apart from sleeping and other basic necessities, Peter has 15 hours of available time. He may tutor during as many hours as he desires, receiving 20€ per each hour of work. Assume Peter cannot save and consumes all he receives. a. How many hours does Peter decide to rest? 9h 10h 11h 15h 13.5h
Jien is just bored all the time; no amount of success makes him happy, it seems. Below is a list of his income for the last several years and the utility he experienced per dollar of income: Year Yearly Income Utility per Dollar Earned 2017 $60,000 2 utils 2018 $70,000 1.8 2019 $100,000 1.5 2020 $120,000 1 2021 $145,000 0.40 From the above, we can say that Jien most likely is different from most people economists study in terms of risk attitudes is "risk loving" will not take a fair bet has a utility of wealth curve that is a straight line
Columns 1 through 4 of the accompanying table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are $18, $6, $4, and $24, respectively, and that Ricardo has an income of $105. Column 1 Column 2 Column 3 Column 4 Units Units Units Units of A MU of B MU of C MU of D MU 1 72 1 24 1 15 1 36 54 15 12 2 30 3 45 3 12 3 8. 3 24 4 36 4 7 4 18 27 7 5 5 13 6 18 6 5 6 4 6 7 7 15 7 2 7 3.5 7 8 12 8 1 8 3 8 2 а. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? b. How many dollars will Ricardo choose to save? c. Check your answers by substituting them into the algebraic statement of the utility-maximizing rule. In other words, show it works when using this rule.
Sarah has a budget of 58. Her utility function if U(x,y) = x*y. %3D The price of good x is 1, the price of good y is 8. How many units of good x does Sarah consume? Answer: Type here to search 01/
4. Minnie enjoys dessert by eating chocolate cake (C) and apple pie (P) according to the utility function U = Min [C, P]. In any given week, Minnie %3D spends £20 to purchase these two products. Assume that Minnie is a utility maximiser and has to pay 50p for a unit of apple pie and £2 for a unit of chocolate cake. (i) Consider the bundle C = 20 and P = 5. Is this the utility maximizing choice subject to Minnie's budget?. %3! (ii) Suppose that Minnie chooses the exact bundle that maximizes her utility. How would the utility maximizing choice of C be affected if price of P went up? (iii) Explain under which conditions the tangency condition does not work. Given that the tangency condition does not work, discuss how we can find out the optimal consumption bundle for a consumer.
1. Complete the following table and answer the questions below: Units consumed Total utility Marginal utility 1 10 10 2 8. 25 4 30 5 6. 34 2. Columns 1 through 4 in the table below show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are P18, 6, 4, and 24, respectively, and that Ricardo has an income of 106. Column 1 Column 2 Column 3 Column 4 Column 5 Unit Unit Unit Unit No. of MU MU MU MU P saved MU of A of B of C of D || || || || | 1 72 1 24 1 15 1 36 1 2 54 2 15 12 2 30 2 3 45 3 12 8 3 24 3 36 4 18 2 27 5 7 5 13 5 1 18 6. 7 6. 1/2 7 15 7 7 3.5 7 4 7 1/4 8 12 8. 1 8 2 8. 1/8 a. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? b. How many pesos will Ricardo choose to save?
1. Doreen is looking for a flat to rent in Brighton. a. In choosing a flat, she cares about two characteristics: the number of bedrooms (x), and the number of bathrooms (y). Her utility function is U(x,y) = min(x, 2y). She has £1000 to spent on rent per month. The rental price per bedroom in Brighton is £400, and the price per bathroom is £200. (For example, a flat with three bedrooms and two bathrooms would rent for £1600 per month.) How many bedrooms and bathrooms does Doreen choose to rent optimally? b. Doreen now needs to furnish her flat. She has £500 to spend. However, she would also like to buy some clothes for her new job. The cost of furniture f is £50 per unit and the cost of clothing c is £20 per unit. Her utility function over furniture and clothing is U(f.c) = f0.3c0.7. How much does she spend in total on furniture, and on clothing? c. The local furniture shop runs a flash sale of 50% off, on all prices. How much does Doreen now spend on furniture, and on clothing?…
UTIITY (Units of utility) 10 Suppose your friend Deborah offers you the following bet: She will flip a coin and pay you $2,000 if it lands heads up and collect $2,000 from you if it lands tails up. Currently, your level of wealth is $6,000. The graph shows your utility function from wealth. Use the graph to answer the following questions. 100 90 80 B 70 A 60 50 40 30 20 10 WEALTH (Thousands of dollars)
Columns 1 through 4 in the following table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are, respectively, $18, $6, $4, and $24 and that Ricardo has an income of $106. a. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? b. How many dollars will Ricardo choose to save? c. Check your answers by substituting them into the algebraic statement of the utility-maximizing rule.
Using apporiate diagram, explain how an in-kind transfer results in a lower utility level than a cash transfer
1. Muhammad enjoys going to the aquarium (x) and playing basketball (y). His preferences on x and y are described by his utility function: U(x, y) = 100x23y3. He has a budget of £120 per week to spend on playing basketball and going to the acquarium. Knowing that p,=10 and py=10: ,2/3,1/3 (A) Find the optimal combination of x and y so that Muhammad maximizes his utility subject to the budget constraint. Show this graphically. (B) Consider now that the price of going to the aquarium increases to £20, the price of playing basketball is now £15 and the income did not change. How does this modify Muhammad's optimal bundle? Show this graphically. (C) Compare the optima in (A) and (B): has the valuation of y in terms of x changed? Explain.