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Chapter 5: Problem 32

Suppose you could buy shoes one at a time, rather than in pairs. What do you predict the cross-price elasticity for left shoes and right shoes would be?

Short Answer

Expert verified
The cross-price elasticity between left shoes and right shoes is expected to be negative, as they are complementary goods. A change in the price of one shoe will lead to an opposite change in the demand for the other shoe.

Step by step solution

01

Understand the concept of cross-price elasticity

Cross-price elasticity (CPE) is an economic concept used to describe the responsiveness of the quantity demanded of one good when the price of another good changes. It is defined as the percentage change in the quantity demanded of good X when the price of good Y changes by one percent. Mathematically, it is represented as follows: \[CPE_{X,Y} = \frac{ \% \Delta Q_{X}}{\% \Delta P_{Y}}\] Where: \(CPE_{X,Y}\) is the cross-price elasticity between good X and good Y \(\%\Delta Q_{X}\) is the percentage change in the quantity demanded of good X \(\%\Delta P_{Y}\) is the percentage change in the price of good Y
02

Define the goods involved in the problem

In this problem, we are considering left shoes (good X) and right shoes (good Y) as separate entities.
03

Determine the relationship between left shoes and right shoes

Left shoes and right shoes are complementary goods. Complementary goods are products or services that are used together, such that when the price of one good increases, the demand for its complement will typically decrease.
04

Calculate the cross-price elasticity between left shoes and right shoes

Since left shoes and right shoes are complementary goods, we expect a negative value for their cross-price elasticity. When the price of left shoes increases, the demand for right shoes is expected to decrease and vice versa. We can't provide an exact numerical value for the cross-price elasticity without actual data on prices and demand, but we can predict that it will be negative.
05

Conclusion

The cross-price elasticity between left shoes and right shoes is expected to be negative, as they are complementary goods. A change in the price of one shoe will lead to an opposite change in the demand for the other shoe.

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Most popular questions from this chapter

A city has built a bridge over a river and it decides to charge a toll to everyone who crosses. For one year, the city charges a variety of different tolls and records information on how many drivers cross the bridge. The city thus gathers information about elasticity of demand. If the city wishes to raise as much revenue as possible from the tolls, where will the city decide to charge a toll: in the inelastic portion of the demand curve, the elastic portion of the demand curve, or the unit elastic portion? Explain.

Describe the general appearance of a demand or a supply curve with infinite elasticity.

What is the relationship between price elasticity and position on the demand curve? For example, as you move up the demand curve to higher prices and lower quantities, what happens to the measured elasticity? How would you explain that?

Under which circumstances does the tax burden fall entirely on consumers?

What is the price elasticity of demand? Can you explain it in your own words?
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