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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

Short Answer

Expert verified

The following are the price-consumption and demand curves:

Step by step solution

01

Price consumption curve and demand curve

The price consumption curve is a graphical representation of how consumers' choices between different units of different goods change when the prices of goods change. On the other hand, the demand curve depicts how the demand of the consumer for a particular interest varies due to changes in the price.

02

Explanation of the graphs.

The graph below depicts the units of books on the y-axis and the units of wine on the x-axis. The curve corresponding to different levels of the units of books and wine is the price consumption curve depicting how a consumer switches his choices with changes in the prices of goods.

As the price of wine increases (the fixed price of books), the budget line moves inside along the x-axis (the intercept on the y-axis is the same). The new tangency point between a new IC (lower than before) and a new budget line decreases the quantity demanded. Thus, the demand curve is as shown below.

The graph below depicts the price of wine along the y-axis and units of wine on the x-axis; the demand curve is the downward sloping curve showing that as the price of wine increases, the units demanded to decrease.

In the graph above, as the prices decrease from 20 to 15 and then to 10 and so on, the quantity demanded increases from 1 to 2 to 3. It depicts that more quantity is demanded at low prices and vice-versa.

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Most popular questions from this chapter

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?

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?

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.

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 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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