Among the tax proposals regularly considered by Congress is...

Among the tax proposals regularly considered by Congress is an additional tax on distilled liquors. The tax would not apply to beer. The price elasticity of supply of liquor is $4.0,$ and the price elasticity of demand is $-0.2 .$ The cross-elasticity of demand for beer with respect to the price of liquor is 0.1 a. If the new tax is imposed, who will bear the greater burden-liquor suppliers or liquor consumers? Why? b. Assuming that beer supply is infinitely elastic, how will the new tax affect the beer market?

Among the tax proposals regularly considered by Congress is an additional tax on distilled liquors. The tax would not apply to beer. The price elasticity of supply of liquor is $4.0,$ and the price elasticity of demand is $-0.2 .$ The cross-elasticity of demand for beer with respect to the price of liquor is 0.1
a. If the new tax is imposed, who will bear the greater burden-liquor suppliers or liquor consumers? Why?
b. Assuming that beer supply is infinitely elastic, how will the new tax affect the beer market?

Key Concepts

Tax Incidence

Tax incidence refers to the way in which the burden of a tax is divided between buyers and sellers. It depends on the relative elasticities of demand and supply of the taxed good – the side of the market that is less responsive to price changes (more inelastic) tends to bear a larger share of the tax burden.

Price Elasticity of Demand

Price elasticity of demand measures how the quantity demanded of a good responds to changes in its price. When demand is inelastic, consumers do not reduce their purchases significantly as prices rise, meaning they are likely to absorb more of the tax burden when one is imposed.

Price Elasticity of Supply

Price elasticity of supply gauges the responsiveness of producers to changes in the price of a good. When supply is elastic, producers can adjust their output more freely with price changes, often shifting the tax burden onto consumers, who are less flexible in their demand.

Cross Elasticity of Demand

Cross elasticity of demand quantifies the responsiveness of the quantity demanded for one good when the price of a related good changes. A positive cross elasticity indicates substitute goods, meaning that an increase in the price of one good may lead to higher demand for its substitute, thereby affecting related markets indirectly.

Perfectly Elastic Supply

Perfectly elastic supply is characterized by a horizontal supply curve, where producers are willing to supply any quantity at a specific price. In such markets, any shift in demand, even due to external factors like taxation, results primarily in changes in the quantity sold rather than price changes.

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