The cross-price elasticity of demand measures the percentage...

The cross-price elasticity of demand measures the percentage change in the quantity of a good demanded when the price of a different good changes by $1 \% .$ The income elasticity of demand measures the percentage change in the quantity of a good demanded when the income of buyers changes by $1 \% .$ a. What sign might you expect the cross-price elasticity to have if the two goods are shampoo and conditioner? Why? b. What sign might you expect the cross-price elasticity to have if the two goods are gasoline and ethanol? Why? c. What sign might you expect the cross-price elasticity to have if the two goods are coffee and shoes? Why? d. What sign might you expect the income elasticity to have if the good in question is hot stone massages? Why? e. What sign might you expect the income elasticity to have if the good in question is Ramen noodles? Why? f. What sign might you expect the income elasticity to have if the good in question is table salt? Why?

The cross-price elasticity of demand measures the percentage change in the quantity of a good demanded when the price of a different good changes by $1 \% .$ The income elasticity of demand measures the percentage change in the
quantity of a good demanded when the income of buyers changes by $1 \% .$
a. What sign might you expect the cross-price elasticity to have if the two goods are shampoo and conditioner?
Why?
b. What sign might you expect the cross-price elasticity to have if the two goods are gasoline and ethanol? Why?
c. What sign might you expect the cross-price elasticity to have if the two goods are coffee and shoes? Why?
d. What sign might you expect the income elasticity to have if the good in question is hot stone massages? Why?
e. What sign might you expect the income elasticity to have if the good in question is Ramen noodles? Why?
f. What sign might you expect the income elasticity to have if the good in question is table salt? Why?

Key Concepts

Normal and Inferior Goods

Normal goods have a positive income elasticity of demand, meaning that as consumers’ income increases, the demand for these goods increases. Inferior goods, in contrast, exhibit a negative income elasticity, where an increase in income leads to a decrease in demand. This concept is central to understanding how changes in economic conditions affect consumer choices.

Income Elasticity of Demand

Income elasticity of demand measures the responsiveness of the quantity demanded of a good to a change in consumer income. It is defined as the percentage change in demand associated with a one percent change in income. The elasticity indicates whether a good is a normal good (positive income elasticity) or an inferior good (negative income elasticity).

Substitute Goods

Substitute goods are those that can replace each other in consumption; an increase in the price of one leads to an increase in the demand for the other, resulting in a positive cross-price elasticity. This reflects consumer behavior in seeking a similar alternative when the cost of a preferred good rises.

Cross-Price Elasticity of Demand

This concept measures the responsiveness of the quantity demanded for one good when the price of another good changes. It is expressed as the percentage change in quantity demanded of one product relative to a one percent change in the price of another product. The sign of the cross-price elasticity indicates whether the goods are substitutes (positive elasticity) or complements (negative elasticity).

Complementary Goods

Complementary goods are products that are typically consumed together, so a rise in the price of one results in a decrease in the demand for the other, producing a negative cross-price elasticity. This negative relationship highlights how the consumption of one good is intertwined with the consumption of another.

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