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Consider a local car dealership that gathers data on changes in demand and consumer income for...

Consider a local car dealership that gathers data on changes in demand and consumer income for its cars for a particular year. When the average real income of its customers falls 20%, the sale of new cars plummets 40%, all other things unchanged. However, the sale of used cars increases by 10%. Calculate and interpret the income elasticity of demand for new and used cars. Show your work.

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Answer #1

The income elasticity of demand measures the percentage change in quantity demanded due to one percentage change in income of the consumer. This is calculated as

% change in Qd % change in I

The income elasticity determines the type of good, such as a negative income elasticity implies an inferior good. A positive and less than 1 income elasticity defines a necessity good. A positive and greater than 1 income elasticity defines a luxury good.

In the case of the new cars, the income elasticity of demand is

-40% €1,9 = -20%

Therefore, the new car is a normal luxury good for the consumer.

In the case of the used cars, the income elasticity of demand is

10% €1,9 = -30% = -0.

Therefore, the used car is an inferior good to the consumer.

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