6. [1] (Chapter 8) Charlie's utility function is XAXB. The price of apples is $1, the priceof bananas is $2, and his incomeprice of bananas and income stayed constant, the substitution effect on Charlie's appleconsumption would reduce his consumption by$40. If the price of apples increased to $8 and the(а) 17.5 арples(b) 7 аpples(c) 8.75 apples(d) 13.75 аpples(e) None of the above.

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Answered: 6. [1] (Chapter 8) Charlie's utility…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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1 The Law of Diminishing Utility: For example, I consume too many apples. Until I eat the fifth one, I start getting sick of it so the net total utility is starting to fall. I park in a car park and when I park there for 6 hours, it is getting more expensive so I prefer to leave early. Is this an example of diminishing utility?
2. Income and substitution effects Manuel is an accountant who enjoys apples and pears. Suppose that the price of apples increases. As a result, even though Manuel purchases fewer apples, he actually purchases more pears than he would have before the price change. This phenomenon is known as the effect.
5. Suppose a preference relation is represented by a utility function u(x₁, x₂) = x₁ + x₂. Explain why the function -u(x₁, x₂) = −x₁ - x₂ does not represent the same preference relation. It is enough to explain using two appropriate bundles.
5) Consider indifference curves for the consumption of milk and chocolates (you may assume that both are 'goods'). The indifference curves are drawn with the number of chocolate bars on the horizontal axis and pints of milk on the vertical axis. Suppose that at every point, consumer A's indifference curve is flatter than consumer B's. What can you conclude about consumers A and B tastes and preferences?
4. John has a utility for the quantity of sandwiches, Xs, and quantity of burgers, Xp, that he consumes, represented by the following equation: U(X,X) = XX His income is Y = $24. The price of a sandwich changes from X, = $1 to X, = $4 while the price of a burger remains at X, = $6. Solve for the compensating variation and equivalent variation associated with this price increase.
5. Suppose the representative consumer has the (quasilinear) utility function: U(x, y) = ax + In(v) where x,y are consumption goods. Denominated in US dollars, the prices of x and y Pi and pz, respectively. (a) What does the term quasilinear mean? Is consumption of x independent of y? (b) Assume the consumer has a budget of C dollars at his/her disposal. What is the maximum utility the consumer may achieve with this budget? (c) What is the minimum expenditure if the consumer wants to derive U,units of utility?
. (Figure 4.13) What rotated the budget constraint? Quantity of good Y 10 9 8 7 6 5 N WAS 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 Quantity of good X an increase in the price of good X a decrease in income an increase in the price of good Y a decrease in the price of good Y
Considering the following Diagram of consumer equilibrium, answer the following questions. If consumer has $100 to spend on X and Y at Budget line DE, what are the prices of X and Y products. What combination of X & Y maximizes the consumer’s total utility at Budget line DE? Why a consumer has moved to point B on Budget line DE1 from Point A of Budget line DE? Derive the demand curve of X product. What is relationship between X and Y products
Root beer Candy bars Quantity Total Marginal Quantity Total Marginal utility utility utility utility 0 0 0 0 0 0 1 60 60 1 80 80 2 110 50 2 150 70 3 150 40 3 200 50 4 180 30 4 230 30 5 200 20 5 240 10 6 210 10 6 240 0 Reference: Ref 6-9 (Table) Using the information in the table, assume the consumer has a weekly budget of $3, the price of a root beer is $1 and the price per candy bar is $0.50. The consumer maximizes utility by: purchasing three root beers. purchasing two root beers and two candy bars. purchasing six candy bars. purchasing four candy bars and one root beer.
Calculate marginal utility and marginal utility per dollar for the data provided in the table below: (round to two decimal places) The Price of wine is 4 The Price of Cheese is 0.58 The Consumer's budget for wine and Cheese is 14.91 GLASSES (WINE) (WINE) WEDGES (CHEESE) TOTAL UTILITY OF WINE TOTAL UTILITY (WINE) MARGINAL UTILITY/dollar MARGINAL UTILITY OF CHEESE 1 60 15 Number Number 144 2 45 55 Number 199 56 Number Number 4 252 65 51 Number 5 303 73 The Quantity of Wine this consumer would buy to maximize utility is: Number The Quantity of Cheese this consumer would buy to maximize utility is: Number What is the consumer's Total Utility when optimized: Number 2 3 3 A 5 (CHEESE) MARGINAL UTILITY Number 11 Number 8 (CHEESE) MARGINAL UTILITY/dollar Number Number Number Number
2. Utility maximization - Trading off labor and leisure The indifference curves on the following graph show Amy's preferences for leisure and consumption for increasing levels of utility, such that her utility increases in both consumption and leisure. Assuming that Amy spends 68 hours each week sleeping, she has a maximum of 100 hours available to her for leisure if she does not work at all. Initially, she works 45 hours (and thus has 55 hours of leisure) and earns $250 per week. Use the grey point (star symbol) to indicate Amy's initial leisure/consumption bundle. Dashed drop lines will automatically extend to both axes. CONSUMPTION (Dollars per week) 1000 900 800 700 600 500 400 300 200 100 0 0 + 10 20 30 40 50 60 70 80 LEISURE (Hours per week) 90 U3 100 110 Initial bundle + $200 Unemployment Benefits Equivalent Bundle, $100 Unemployment Benefits Equivalent Bundle ?
3. If all other factors remain the same, what happens to the demand curve for coffee if there is: (a) an increase in the price of tea, (b) a decrease in family income, (c) an increase in the price of coffee? In answering these questions draw and carefully label a set of axes. On the horizontal axis of your graph, show the quantity of coffee. On the vertical axis show the price per cup of coffee. Since you do not have specific data on prices and quantities demanded, just indicate prices with a P and Quantity with a Q. Focus on the general shape and position of the curves before and after events occur. Draw new curves to show what happens in each of the circumstances given, if necessary. 3. If all other factors are unchanged, what happens to the supply curve for coffee if there is: (a) an increase in wages paid to coffee store clerks, (b) an increase in the price of coffee, or (c) an increase in the number of coffee stores? In answering these questions draw graphs, as necessary, using…

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