Chapter 3: Problem 3
If Jane is currently willing to trade 4 movie tickets for 1 basketball ticket, then she must like basketball better than movies. True or false? Explain.
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Chapter 3: Problem 3
If Jane is currently willing to trade 4 movie tickets for 1 basketball ticket, then she must like basketball better than movies. True or false? Explain.
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In this chapter, consumer preferences for various commodities did not change during the analysis. In some situations, however, preferences do change as consumption occurs. Discuss why and how preferences might change over time with consumption of these two commodities: a. cigarettes. b. dinner for the first time at a restaurant with a special cuisine.
Antonio buys five new college textbooks during his first year at school at a cost of \(\$ 80\) each. Used books cost only \(\$ 50\) each. When the bookstore announces that there will be a 10 percent increase in the price of new books and a 5 percent increase in the price of used books, Antonio's father offers him \(\$ 40\) extra. a. What happens to Antonio's budget line? Illustrate the change with new books on the vertical axis. b. Is Antonio worse or better off after the price change? Explain.
Julio receives utility from consuming food ( \(F\) ) and clothing \((C)\) as given by the utility function \(U(F, C)=F C\) In addition, the price of food is \(\$ 2\) per unit, the price of clothing is \(\$ 10\) per unit, and Julio's weekly income is \$50. a. What is Julio's marginal rate of substitution of food for clothing when utility is maximized? Explain. b. Suppose instead that Julio is consuming a bundle with more food and less clothing than his utility maximizing bundle. Would his marginal rate of substitution of food for clothing be greater than or less than your answer in part a? Explain.
Consumers in Georgia pay twice as much for avocados as they do for peaches. However, avocados and peaches are the same price in California. If consumers in both states maximize utility, will the marginal rate of substitution of peaches for avocados be the same for consumers in both states? If not, which will be higher?
The utility that Meredith receives by consuming food \(F\) and clothing \(C\) is given by \(U(F, C)=F C .\) Suppose that Meredith's income in 1990 is \(\$ 1200\) and that the prices of food and clothing are \(\$ 1\) per unit for each. By 2000 however, the price of food has increased to \(\$ 2\) and the price of clothing to \(\$ 3 .\) Let 100 represent the cost of living index for \(1990 .\) Calculate the ideal and the Laspeyres cost-of-living index for Meredith for 2000 (Hint: Meredith will spend equal amounts on food and clothing with these preferences.)
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