Please don't use Ai solution 1.Daniel wants to retire in Jerusalem. He consumes food and clothing. In Jerusalem, food costs $10 perunit and clothing costs $5 per unit. His utility function is U(F,C) = F²C, where F and C are Daniel'sunits of food and clothing consumption.a) What is Daniel's optimal retirement consumption bundle if he wants to have a utility of 1000? (6pts.)b) How much does he have to spend to keep the utility at 1000?c) How much does Daniel have to spend if he wants his utility to be U, and food and clothing cost PFand Pc? Express your answer in the form of expenditure function E(U, PF, PC)?d) If Daniel wants to keep his utility at U, and prices are unknown (PF and PC), what is the hicksiandemand?

The utility function is given as: a) Optimal consumption bundle If we assume that Daniel expends…

Answered: 1. Daniel wants to retire in Jerusalem.…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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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
Question 2 David spends his budget on chocolate and chip. His utility function is given by ?(?1,?2)= 2?1?2, where ?1 is the number of chocolates he consumers per week, and ?2 is the number of chips he buys per week. A chocolate costs 10 SEK, and a chip costs 20 SEK. David’s weekly budge for consuming on these two goods is 120 SEK. (1) What is David’s budge line? Draw the budget line on a graph with chocolate amounts on the horizontal axis and chip amounts on the vertical axis. Write explicitly at which points budget line crosses the axis. (2) What is David’s marginal utilities for the two goods, respectively? What is his marginal rate of substitution between the two goods? (3) What is David’s optimal choice? Calculate the numerical answer for the optimal bundle. Also draw an indifference curve for David on the same graph as question(1) and show the optimal bundle.
Max is very peculiar about his morning coffee routine. He likes to use exactly two spoons of coffee for every six ounces of water. This give him the following utility function: U = min(2Water, 6Cof fee), where Water (W) is measured in fluid ounces and Coffee (C) in spoons. (a) afford while utility-maximizing? How many spoons of coffee does he use in doing so? (b) If he spends exactly $2 on coffee every morning, how many 8 ounce cups of coffee can he How much utility does Max get from his morning cup/s of coffee?
2. Tom spends all his $100 weekly income on two goods, apples and bananas. His utility function is given by U (A, B) = AB, where A and B stand for the quantity of apples and bananas consumed by Tom. If PA = $4 and PB= $10, how many apples and bananas will he consume? Make sure you write out the utility maximization problem explicitly, including the decision variable(s). What if his utility function is given by U (A, B) = A0.5B 0.5?
25 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, $9, $3, $2, and $6 and that Ricardo has an income of $71. Column 1 Column 2 Column 3 Column 4 Column 5 Units of Good A Units of Units of Units of MU MU MU MU Good B Good C Good D Number of Dollars Saved MU 1 72 1 24 1 15 1 36 1 5 2 54 2 15 2 12 2 30 2 4 3 45 3 12 3 8 3 24 3 3 4 36 4 9 4 7 4 18 4 2 5 27 5 7 5 5 5 13 5 1 6 18 6 5 6 4 6 7 6 0.50 7 15 7 2 7 3.5 7 4 7 0.25 8 12 8 1 8 3 8 2 8 0.13 Instructions: Enter your answers as a whole number. a. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? 4 units of A 3 units of B units of C units of D b. How many dollars will Ricardo choose to save?
Rodrigo is taking a year between high school and college to work and save up. His utility from consumption each year is U(c) = discounts future utility by B. Rodrigo is going to make $I his year of working, and whatever he doesn't consume from that income will a savings account which will earn return r before he consumes next year. He has to pay for school expenses E in year two, before he consumes (but after return has been realized). 1-o and he go into
Katie Kwasi's utility function is U(x₁, x₂)=5(In x₁)+x₂. Given her current income and the current relative prices, she consumes 10 units of x₁ and 15 units of x₂. If her income doubles, while prices stay constant, how many units of x₁ will she consume after the change in income? a)10 b)20 c)15 d)5
1) Sharon spends her time (20h) between leisure (L) and work and he consume Y product from his working income (Py=1). Assume that she gets W$ per hour of working and has the following utility function: U (L, Y) =LY+2L C. vv). e. VS What will happen to L, Y and H if the wage per hour (W) will decrease? d. How would your answer to the previous question (c) will change if Sharon has a fixed amount of money (Wo) that is not connected to W? If Sharon has the following utility function: U= L³+ Y², is it possible that she will choose not to work at all? Explain and show the condition for your result if exists. |||
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.
EXERCISE 5 Loise spends £20 on tea (T) and coffee (C). Her preferences for these goods can be described by the following utility function: ( , ). Suppose that one cup of tea costs £1.60 while one cup of Loise’s favourite coffee costs £4.00. Find Loise’s optimal consumption bundle. Provide both algebraic and graphical solution. Explain your reasoning. Discuss how Loise’s optimal consumption choice would change when her disposable budget changes. If the price of tea increases to £2.00 per cup, how should the price of coffee change so that Loise can be as well off as before this change in prices? Discuss the implications of the price change from c) on Loise’s optimal choice. In your discussion, include the analysis of the substitution and income effects as well as Loise’s demand for tea and/or coffee.
1. For the utility function U(x,, x2) = x9.4x9.6, calculate EV, Cv and ACS for an increase in P1 from $1 to $2. Assume p2 1, and m = 100.

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