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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

An individual consumes two goods, clothing and food. Given the information below, illustrate both the income-consumption curve and the Engel curve for clothing and food.

PRICE

CLOTHING

PRICE

FOOD

QUANTITY

CLOTHING

QUANTITY

FOOD

INCOME
\(10
\)2
620\(100
\)10
\(2
835\)150
\(10
\)2
1145\(200
\)10
\(2
1550\)250

An individual sets aside a certain amount of his income per month to spend on his two hobbies, collecting wine and collecting books. Given the information below, illustrate both the price-consumption curve associated with changes in the price of wine and the demand curve for wine.

PRICE

WINE


PRICE

BOOK


QUANTITY

WINE


QUANTITY

BOOK


BUDGET
\(10
\)10
78\(150
\)12
\(10
59\)150
\(15
\)10
49\(150
\)29
\(10
211\)150

a. Orange juice and apple juice are known to be perfect substitutes. Draw the appropriate price consumption curve (for a variable price of orange juice) and income-consumption curve.

b. Left shoes and right shoes are perfect complements. Draw the appropriate price-consumption and income-consumption curves.

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.

The director of a theater company in a small college town is considering changing the way he prices tickets. He has hired an economic consulting firm to estimate the demand for tickets. The firm has classified people who go to the theater into two groups and has come up with two demand functions. The demand curves for the general public (Qgp) and students (Qs)

are given below:

Qgp = 500 - 5P

Qs = 200 - 4P

a. Graph the two demand curves on one graph, withon the vertical axis andQon the horizontal axis. If the current price of tickets is \(35, identify the quantity demanded by each group.

b. Find the price elasticity of demand for each group at the current price and quantity.

c. Is the director maximizing the revenue he collects from ticket sales by charging \)35 for each ticket? Explain.

d. What price should he charge each group if he wants to maximize revenue collected from ticket sales?

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