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By observing an individual’s behavior in the situations outlined below, determine the relevant income elasticities of demand for each good (i.e., whether it is normal or inferior). If you cannot determine the income elasticity, what additional information do you need?

a. Bill spends all his income on books and coffee. He finds \(20 while rummaging through a used paperback in at the bookstore. He immediately buys a new hardcover book of poetry.

b. Bill loses \)10 he was going to use to buy a double espresso. He decides to sell his new book at a discount to a friend and use the money to buy coffee.

c. Being bohemian becomes the latest teen fad. As a result, coffee and book prices rise by 25 percent. Bill lowers his consumption of both goods by the same percentage.

d. Bill drops out of art school and gets an M.B.A. instead. He stops reading books and drinking coffee. Now he reads the Wall Street Journal and drinks bottled mineral water.

Short Answer

Expert verified

a. Books are a normal good. Coffee is neither a normal good nor an inferior good; it is a neutral good

b. Books are a normal good, and coffee appears to be a neutral good and neither normal nor inferior good.

c. Books and coffee are both normal goods.

d. His tastes have changed completely; therefore, additional information is needed.

Step by step solution

01

Explanation of part (a)

You can see that when the income of Bill increased after finding the $20, he immediately used that additional income to buy a book only and not coffee. Therefore looking at this behavior, it can be concluded that the books are normal goods since Bill’s consumption for books increased due to an increase in his income.Therefore, income elasticity is > 1.

While his consumption for the coffee remained the same even after his income increased, this signifies that coffee for Bill is neutral good and is neither a normal nor an inferior good. Income elasticity is zero here.

02

Explanation of part (b)

When the income of Bill decreased by $10, he chose to sell his new book to compensate for the loss and buy coffee. Therefore, by this behavior, books are normal goods since their consumption decreased with a decrease in income. At the same time, the consumption of coffee remained constant since he kept buying double espresso even when his income is decreased by $10.

Therefore, in the case of books, income elasticity is >1, and in the case of coffee, income elasticity = 0.

03

Explanation of part(c)

When the prices of both books and coffee increased by 25 %, Bill reduced his consumption for both the goods. Depicting that his real income has reduced due to an increase in the prices, it can be concluded that both coffee and books are normal goods since their consumption reduced due to a fall in real income, and their income elasticity is > 1.

04

Explanation of part(d)


The consumption pattern of Bill has changed since his preferences are more towards Wall Street journals than books and coffee. One cannot determine by the given information why such preferences are changed, whether it was due to changes in income or not; therefore, the answer cannot be determined.

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Most popular questions from this chapter

Suppose you are in charge of a toll bridge that costs essentially nothing to operate. The demand for bridge crossingsQis given byP= 15 - (1/2)Q.

a. Draw the demand curve for bridge crossings.

b. How many people would cross the bridge if there were no toll?

c. What is the loss of consumer surplus associated with a bridge toll of \(5?

d. The toll-bridge operator is considering an increase in the toll to \)7. At this higher price, how many people would cross the bridge? Would the toll-bridge revenue increase or decrease? What does your answer tell you about the elasticity of demand?

e. Find the lost consumer surplus associated with the increase in the price of the toll from \(5 to \)7.

Suppose the income elasticity of demand for food is0.5 and the price elasticity of demand is -1.0. Suppose also that Felicia spends \(10,000 a year on food, the

price of food is \)2, and her income is \(25,000.

a. If a sales tax on food caused the price of food to increase to \)2.50, what would happen to her consumption of food? (Hint: Because a large price change is involved, you should assume that the price elasticity measures an arc elasticity, rather than a point elasticity.)

b. Suppose that Felicia gets a tax rebate of $2500 to ease the effect of the sales tax. What would her consumption of food be now?

c. Is she better or worse off when given a rebate equal to the sales tax payments? Draw a graph and explain.

Judy has decided to allocate exactly $500 to college textbooks every year, even though she knows that the prices are likely to increase by 5 to 10 percent per year and that she will be getting a substantial monetary gift from her grandparents next year. What is Judy’s price elasticity of demand for textbooks? Income elasticity?

Suppose that you are the consultant to an agricultural cooperative that is deciding whether members should cut their production of cotton in half next year. The cooperative wants your advice as to whether this action will increase members’ revenues. Knowing that cotton (C) and soybeans (S) both compete for agricultural land in the South, you estimate the demand for cotton to be C = 3.5 - 1.0PC + 0.25PS + 0.50I, where PC is the price of cotton, PS the price of soybeans, and income. Should you support or oppose the plan? Is there any additional information that would help you to provide a definitive answer?

The ACME Corporation determines that at current prices, the demand for its computer chips has a price elasticity of -2 in the short run, while the price elasticity for its disk drives is -1.

a. If the corporation decides to raise the price of both products by 10 percent, what will happen to its sales? To its sales revenue?

b. Can you tell from the available information which product will generate the most revenue? If yes, why? If not, what additional information do you need?

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