a. A young connoisseur has $600 to spend to build a smallwine cellar. She enjoys two vintages in particular: a 2001French Bordeaux (wF) at $40 per bottle and a less expensive 2005 California varietal wine (wC) priced at $8. Ifher utility is U (wF, wC))=wF2/3 w C1/3 ,then how much of each wine should she purchase?b. When she arrived at the wine store, this young oenologistdiscovered that the price of the French Bordeaux hadfallen to $20 a bottle because of a decrease in the valueof the euro. If the price of the California wine remainsstable at $8 per bottle, how much of each wine shouldour friend purchase to maximize utility under thesealtered conditions?c. Explain why this wine fancier is better off in part (b)than in part (a). How would you put a monetary value onthis utility increase?

a. A young connoisseur has $600 to spend to build a smallwine cellar. She enjoys two vintages in particular: a 2001French Bordeaux (wF) at $40 per bottle and a less expensive 2005 California varietal wine (wC) priced at $8. Ifher utility is U (wF, wC))=wF2/3 w C1/3 ,then how much of each wine should she purchase?b. When she arrived at the wine store, this young oenologistdiscovered that the price of the French Bordeaux hadfallen to $20 a bottle because of a decrease in the valueof the euro. If the price of the California wine remainsstable at $8 per bottle, how much of each wine shouldour friend purchase to maximize utility under thesealtered conditions?c. Explain why this wine fancier is better off in part (b)than in part (a). How would you put a monetary value onthis utility increase?

Exploring Economics

8th Edition

ISBN:9781544336329

Author:Robert L. Sexton

Publisher:Robert L. Sexton

Chapter10: Consumer Choice Theory

Section: Chapter Questions

Problem 9P

See similar textbooks

Similar questions

John likes Coca-Cola. After consuming one Coke, John has a total utility of 10 utils. After two Cokes, he has a total utility of 25 utils. After three Cokes, he has a total utility of 50 utils. Does John show diminishing marginal utility for Coke or does he show increasing marginal utility for Coke? Suppose that John has $3 in his pocket. If Cokes cost $1 each and John is willing to spend one of his dollars on purchasing a first can of Coke, would he spend his second dollar on a Coke, too? What about the third dollar? If John’s marginal utility for Coke keeps on increasing no matter how many Cokes he drinks, would it be fair to say that he is addicted to Coke? *use tables and/or graphs if possible, please original work
Refer to the graph below Quantity of Y 160 0 Multiple Choice The consumer's income is $1,000 Why doesn't the consumer choose the combination at point B O Quantity of X 200 O The marginal utility of Y exceeds the marginal uplity of X O The consumer is willing to give up more X for an additional unit of Y than must be given up given the relative prices of X and Y. The marginal utility per dollar spent on X exceeds the marginal utility per dollar spent on Y The consumer is willing to give up more Y for an additional unt of X than must be given up given the relative prices of X and Y
John likes Coca-Cola. After consuming one Coke, John has a total utility of 10 utils. After two Cokes, he has a total utility of 25 utils. After three Cokes, he has a total utility of 50 utils. Does John show diminishing marginal utility for Coke, or does he show increasing marginal utility for Coke? Supposethat John has $3 in his pocket. If Cokes cost $1 each and John is willing to spend one of his dollars on purchasing a first can of Coke, would he spend his second dollar on a Coke, too? What about the third dollar? If John’s marginal utility for Coke keeps on increasing no matter how many Cokes he drinks, would it be fair to say that he is addicted to Coke?
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.
Q1. Assume you are given $20 a week to spend only on your favorite choices of drinks. You have two favorite drinks: Di costs $2 and D2 costs $4. Your utility from the purchase of your drinks is U(D₁) and U(D2). The values of utilities are given below - D₁ 0 1 2 3 4 5 U(D₁) 0 12 20 26 30 32 D₂ 0 1 3 U(D₂) 0 2 3 32 5 20 40 444 46 X is the number of D1 and Y is the number of D2 you purchase in a week. a) What combination of X and Y would make you a utility maximizer? b) If you are not maximizing your utility, how should you reallocate your allowance? Explain.
Alexi has a budget of $21 to spend on toaster and breads. He does not directly gain any utility from owining a toaster but for every slice of toasted bread he consumes he gain 2 units of utility, that is if he owns a toaster. Without the toaster, he gain 0 units of utility from consuming plain bread. Suppose the toaster has inferior quality and will break after toasting only 10 slices, then Alexi needs to buy a new one. The current market price for cheap toaster is $5 and the price for a single slice of bread is $1. Assume that Alexi aims to maximize consumer surplus. Find Alexi's income-consumption curve for slices of bread for incomes between $0 and $21, assuming a price of $1 per slice.
Alexi has a budget of $21 to spend on toaster and breads. He does not directly gain any utility from owining a toaster but for every slice of toasted bread he consumes he gain 2 units of utility, that is if he owns a toaster. Without the toaster, he gain 0 units of utility from consuming plain bread. Suppose the toaster has inferior quality and will break after toasting only 10 slices, then Alexi needs to buy a new one. The current market price for cheap toaster is $5 and the price for a single slice of bread is $1. Assume that Alexi aims to maximize consumer surplus. In a graph, draw total utility as a function of number of toasted slices, assuming that Alexi buys 1 toaster.
31) Suppose Joe's utility for lobster (L) and soda (S) can be represented as U = L0.5 S0.5. Joe walks into a restaurant with $72. Lobsters cost $18 each and sodas cost $2 each. How much lobster and soda will Joe consume if he intends to spend all his money? (There are no tax and no tips.) 1). dU/dL = 0.5 L-0.5 S0.5 - 18q = 0 2). dU/dL = 0.5 L0.5 S-0.5 - 2q = 0 3). dU/dq = 72 - 18L - 2S = 0 32) Joe's indifference map for lobster and soda is shown in the above figure along with his budget line. Will Joe choose point a? Explain your answer in terms both of MRS and the level of utility. 33) John is indifferent between canned soup and fresh soup. Canned soup sells for $1 per serving and fresh soup sells for $2 per serving. Assuming that John has allocated $4 toward soup, how will he spend it? Explain your answer by drawing John's budget line and indifference curves.
The daily total utility per quantity of consumption is shown in the figure. This shows that the total utility of consuming 1 product is $1.60, the total utility of 2 products is $3.00, and so on. Using marginal analysis, for which market price (per unit) is the optimal daily quantity of consumption 4 units? Quantity (units) 1 2 3 4 5 Total utility $1.60 $3 $4.20 $5.20 $6.00 a) $5.10 b) $0.90 c) $1.10 d) $1.30 e) $5.30
Moe's income is $320 per week and he spends it on two goods, X and Y. Good X costs $8 and good Y costs $4 per unit. His utility function is U = 4.5XY. (a) Calculate Moe's utility-maximizing purchases of X and Y. (b) Calculate Moe's constrained utility- maximum if his income decreases by $2.00? (c) If the price of Y doubles, with no change in the price of X, by how much would his income have to increase to enable him to maintain his initial level of utility (as in part (a) above)?
Quarts of ice cream Total utility from ice cream 0 0 1 80 2 150 3 210 4 260 From the information in the above table, what is the marginal utility of the third quart of ice cream? A) 80 B) 70 C) 60 D) 230 Pizza Pepsi Slices per week Total utility Quantity per week Total utility 0 0 0 0 1 100 1 70 2 150 2 130 3 175 3 180 4 190 4 220 5 195 5 250 The table shows Elaine's utility from pizza and Pepsi. If Elaine consumes 2 slices of pizza and 3 Pepsis, her marginal utility from the fourth Pepsi is ________ units. A) 60 B) 54 C) 40 D) 220 Fritos Fruit drinks Quantity Total utility Quantity Total utility 0 0 0 0 1 40 1 50 2 75 2 95 3 105 3 135 4 130 4 170 5 150 5 200 6 165 6 225 The table above shows the…
3. Suppose Paul, a 3rd grader, has the following utility function over his lunch of Twinkles (t) and soda (s), utility = U(t, s) = √√ts (a) If Twinkles cost $0.10 cach and soda costs $0.25 per can, how must Paul spend the $1.00 from his parents in order to maximize his utility?