Explain the concept of cross-price elasticity of demand and its relationship with consumer surplus and producer surplus.

Economics Consumer Surplus And Producer Surplus Questions Long



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Explain the concept of cross-price elasticity of demand and its relationship with consumer surplus and producer surplus.

The concept of cross-price elasticity of demand measures the responsiveness of the quantity demanded of one good to a change in the price of another good. It is calculated as the percentage change in the quantity demanded of one good divided by the percentage change in the price of another good.

Cross-price elasticity of demand can be positive, negative, or zero. A positive cross-price elasticity indicates that the two goods are substitutes, meaning that an increase in the price of one good leads to an increase in the quantity demanded of the other good. A negative cross-price elasticity indicates that the two goods are complements, meaning that an increase in the price of one good leads to a decrease in the quantity demanded of the other good. A zero cross-price elasticity indicates that the two goods are unrelated, meaning that a change in the price of one good has no effect on the quantity demanded of the other good.

The relationship between cross-price elasticity of demand and consumer surplus is as follows. When two goods are substitutes and the price of one good increases, the quantity demanded of the other good increases. This leads to an expansion of consumer surplus because consumers are able to purchase more of the substitute good at a lower price. On the other hand, when two goods are complements and the price of one good increases, the quantity demanded of the other good decreases. This leads to a contraction of consumer surplus because consumers are not able to purchase as much of the complement good at a higher price.

The relationship between cross-price elasticity of demand and producer surplus is similar but in the opposite direction. When two goods are substitutes and the price of one good increases, the quantity demanded of the other good increases. This leads to a contraction of producer surplus for the substitute good because producers are not able to sell as much at a higher price. Conversely, when two goods are complements and the price of one good increases, the quantity demanded of the other good decreases. This leads to an expansion of producer surplus for the complement good because producers are able to sell more at a higher price.

In summary, the cross-price elasticity of demand measures the relationship between the quantity demanded of one good and the price of another good. It has implications for both consumer surplus and producer surplus. When two goods are substitutes, an increase in the price of one good leads to an expansion of consumer surplus and a contraction of producer surplus. When two goods are complements, an increase in the price of one good leads to a contraction of consumer surplus and an expansion of producer surplus.