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Chapter 8: Problem 4

Suppose that the government imposes a tax on heating oil. a. Would the deadweight loss from this tax likely be greater in the first year after it is imposed or in the fifth year? Explain. b. Would the revenue collected from this tax likely be greater in the first year after it is imposed or in the fifth year? Explain.

Short Answer

Expert verified
Deadweight loss likely grows by year five; tax revenue is likely higher in the first year.

Step by step solution

01

Understanding Deadweight Loss

Deadweight loss occurs when market inefficiencies or distortions prevent supply and demand from reaching equilibrium. For a heating oil tax, this loss is related to consumer and supplier behaviors in response to the tax, adjusting over time.
02

First Year Impact on Deadweight Loss

In the initial year after imposing the tax, consumers and producers have little time to adjust their habits and technology. Demand and supply are relatively inelastic, leading to smaller decreases in quantity demanded and supplied, and thus a smaller deadweight loss.
03

Fifth Year Impact on Deadweight Loss

Over five years, consumers and producers have time to adjust to the tax. Demand and supply become more elastic as alternatives are adopted, likely intensifying the deadweight loss due to larger reductions in quantity exchanged in the market compared to the untaxed scenario.
04

Analyzing Tax Revenue in the First Year

In the first year, the government collects tax revenue from a market where relatively few substitutions or changes have occurred. The quantity of heating oil sold remains high relative to later, ensuring higher tax collection.
05

Analyzing Tax Revenue in the Fifth Year

Over five years, consumers and producers have adjusted to the tax. There is a reduced quantity of heating oil transactions due to alternative energy sources and technologies, leading to smaller tax revenue compared to the initial year.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Elasticity
Elasticity is a concept that measures how the quantity demanded or supplied responds to changes in price. When demand or supply is inelastic, quantities change little with price adjustments. In our scenario of a heating oil tax, initially, both demand and supply are inelastic. Consumers and suppliers can't quickly change their usage patterns or production methods. Over time, elasticity increases as people find alternatives or change their habits. This ongoing adaptation results in larger quantity changes as both demand and supply become more elastic.
Tax Revenue
Tax revenue is the money the government collects from taxes. It's crucial to understand how this revenue can vary over time, especially with taxes like those on heating oil. Initially, in the first year after a tax is imposed, the tax revenue is likely higher. This is because the market is still relatively stable and inelastic, which means most consumers and suppliers are still exchanging similar quantities as before the tax. After five years, however, as elasticity increases, people and businesses find ways to reduce their dependency on heating oil. This leads to decreased transactions and thus lower tax revenue.
Market Inefficiency
Market inefficiency occurs when the allocation of resources does not reach its optimal equilibrium due to distortions like taxes. In our case, the imposition of a heating oil tax disturbs the natural equilibrium of the market. Initially, the market may not be felt disrupted because both the demand and supply curves are inelastic. Over time, efficiency decreases as consumption and production patterns change. This inefficiency leads to what we call deadweight loss, where potential economic welfare is lost because the preferred market state is not achieved.
Supply and Demand
Supply and demand represent the backbone of market dynamics in determining prices and quantities exchanged. When a tax is introduced, it directly affects this balance. The initial response in a market for heating oil (first year) shows minimal change because people and suppliers are slow to adapt. Demand remains relatively constant, and supply does not change much in the short term. However, after five years, adjustments in behavior make both curves more elastic. People transition to alternative energy sources or suppliers improve efficiency, altering the original supply and demand equilibrium and causing different economic outcomes.

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Most popular questions from this chapter

This chapter analyzed the welfare effects of a tax on a good. Now consider the opposite policy. Suppose that the government \(subsidizes\) a good: For each unit of the good sold, the government pays $2 to the buyer. How does the subsidy affect consumer surplus, producer surplus, tax revenue, and total surplus? Does a subsidy lead to a deadweight loss? Explain.

The government places a tax on the purchase of socks. a. Illustrate the effect of this tax on equilibrium price and quantity in the sock market. Identify the following areas both before and after the imposition of the tax: total spending by consumers, total revenue for producers, and government tax revenue. b. Does the price received by producers rise or fall? Can you tell whether total receipts for producers rise or fall? Explain. c. Does the price paid by consumers rise or fall? Can you tell whether total spending by consumers rises or falls? Explain carefully. (\(Hint\): Think about elasticity.) If total consumer spending falls, does consumer surplus rise? Explain.

Suppose that a market is described by the following supply and demand equations: $$Q^S = 2P$$ $$Q^D = 300 - P$$ a. Solve for the equilibrium price and the equilibrium quantity. b. Suppose that a tax of \(T\) is placed on buyers, so the new demand equation is $$Q^D = 300 - (P + T)$$ Solve for the new equilibrium. What happens to the price received by sellers, the price paid by buyers, and the quantity sold? c. Tax revenue is \(T \times Q\). Use your answer from part (b) to solve for tax revenue as a function of \(T\). Graph this relationship for \(T\) between 0 and 300. d. The deadweight loss of a tax is the area of the triangle between the supply and demand curves. Recalling that the area of a triangle is \({1\over2} \times\) base \(\times\) height, solve for deadweight loss as a function of \(T\). Graph this relationship for \(T\) between 0 and 300. (\(Hint\): Looking sideways, the base of the deadweight loss triangle is \(T\), and the height is the difference between the quantity sold with the tax and the quantity sold without the tax.) e. The government now levies a tax of $200 per unit on this good. Is this a good policy? Why or why not? Can you propose a better policy?

Evaluate the following two statements. Do you agree? Why or why not? a. "A tax that has no deadweight loss cannot raise any revenue for the government." b. "A tax that raises no revenue for the government cannot have any deadweight loss."

Consider the market for rubber bands. a. If this market has very elastic supply and very inelastic demand, how would the burden of a tax on rubber bands be shared between consumers and producers? Use the tools of consumer surplus and producer surplus in your answer. b. If this market has very inelastic supply and very elastic demand, how would the burden of a tax on rubber bands be shared between consumers and producers? Contrast your answer with your answer to part (a).
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