The U.S. government would like to help the Americar auto industry compete against foreign automaker: that sell trucks in the United States. It can do this by imposing an excise tax on each foreign truck sold in the United States. The hypothetical pre-tax demand anc supply schedules for imported trucks are given in the accompanying table. a. In the absence of government interference, what is the equilibrium price of an imported truck? The equilibrium quantity? Illustrate with a diagram. b. Assume that the government imposes an excise tax of \(\$ 3,000\) per imported truck. Illustrate the effect of this excise tax in your diagram from part a. How many imported trucks are now purchased and at what price? How much does the foreign automaker receive per truck? c. Calculate the government revenue raised by the excise tax in part b. Illustrate it on your diagram. d. How does the excise tax on imported trucks benefit American automakers? Whom does it hurt? How does inefficiency arise from this government policy?

Short Answer

Expert verified
#Answer# a. The equilibrium price and quantity for imported trucks in the absence of government interference are found where the supply and demand curves intersect. This equilibrium point (P*, Q*) can be illustrated on a diagram with price on the vertical axis and quantity on the horizontal axis. b. The excise tax of $3,000 on each imported truck causes the supply curve to shift upwards by $3,000. The new equilibrium point (P', Q') is determined where the new supply curve intersects the demand curve. The price paid by consumers (P'_C) is equal to P', while the price received by foreign automakers (P'_F) is P' - $3,000. c. Government revenue generated by the excise tax is calculated as $3,000 * Q', and it can be represented on the diagram as a rectangle with a base extending from Q* to Q' and a height of the $3,000 excise tax. d. The excise tax on imported trucks benefits American automakers by making foreign trucks more expensive and potentially increasing the demand for domestic trucks. However, it hurts foreign automakers and consumers who must pay higher prices for imported trucks. The inefficiency from this policy leads to a potential deadweight loss, which can be represented on the diagram as a triangle with the tax wedge, having a height of the tax amount and a base being the difference between Q* and Q'.

Step by step solution

01

Find the equilibrium price and quantity

To find the equilibrium price and quantity, we need to find the price level at which the quantity demanded (from the demand schedule) is equal to the quantity supplied (from the supply schedule). Then, the equilibrium price is P* (with P* being the price where the two curves intersect), and the equilibrium quantity is Q* (with Q* being the number of imported trucks at that intersection).
02

Illustrate the equilibrium with a diagram

On the diagram, plot the demand curve and the supply curve, with the price on the vertical axis and the quantity on the horizontal axis. The point where the two curves intersect represents the equilibrium (P*, Q*). Label this point on the diagram. b.
03

Analyze the effect of the excise tax and find the new equilibrium

The imposition of a \(3,000 excise tax on each imported truck will lead to a vertical shift upward of the supply curve, since the cost of each truck increases by \)3,000. Find the new equilibrium point by looking for where the new supply curve intersects the demand curve. This point represents the new equilibrium price (P') and quantity (Q').
04

Calculate the price paid by consumers and price received by foreign automakers

The price paid by consumers (P'_C) will be the new equilibrium price (P'). The price received by the foreign automakers (P'_F) will be P' - $3,000, since the automakers receive the consumer price minus the excise tax.
05

Illustrate the effect of the excise tax on the diagram from part a

On the diagram from part a, draw the new supply curve shifted upwards by $3,000. Label the new equilibrium point (P', Q') where this new supply curve intersects the demand curve. c.
06

Calculate government revenue

Government revenue from the excise tax can be calculated as: Revenue = tax per truck * quantity of imported trucks sold = $3,000 * Q'.
07

Illustrate government revenue on the diagram

On the diagram, government revenue is represented as a rectangle, with the base extending from Q* to Q' on the horizontal axis, and the height being the 3,000$ excise tax. Shade this rectangle in. d.
08

Discuss the benefits, losers, and inefficiency

The excise tax on imported trucks benefits American automakers by making foreign trucks more expensive, which may lead to higher demand for domestic trucks. The policy hurts foreign automakers and consumers who must pay higher prices for imported trucks. Inefficiency arises since resources may not be allocated optimally, leading to a potential deadweight loss, which can be represented as a triangle on the diagram containing the tax wedge, where the height is the tax amount and the base is the difference of Q* and Q'.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

You are advising the government on how to pay for national defense. There are two proposals for a tax system to fund national defense. Under both proposals, the tax base is an individual's income. Under proposal A, all citizens pay exactly the same lump-sum tax, regardless of income. Under proposal B, individuals with higher incomes pay a greater proportion of their income in taxes. a. Is the tax in proposal A progressive, proportional, or regressive? What about the tax in proposal B? b. Is the tax in proposal A based on the ability-to-pay principle or on the benefits principle? What about the tax in proposal \(\mathrm{B}\) ? c. In terms of efficiency, which tax is better? Explain.

Each of the following tax proposals has income as the tax base. In each case, calculate the marginal tax rate for each level of income. Then calculate the percentage of income paid in taxes for an individual with a pre-tax income of \(\$ 5,000\) and for an individual with a pre-tax income of \(\$ 40,000 .\) Classify the tax as being proportional, progressive, or regressive. (Hint: You can calculate the marginal tax rate as the percentage of an additional \(\$ 1\) in income that is taxed away.)a. All income is taxed at \(20 \%\). b. All income up to \(\$ 10,000\) is tax-free. All income above \(\$ 10,000\) is taxed at a constant rate of \(20 \%\). c. All income between \(\$ 0\) and \(\$ 10,000\) is taxed at \(10 \%\). All income between \(\$ 10,000\) and \(\$ 20,000\) is taxed at \(20 \%\). All income higher than \(\$ 20,000\) is taxed at \(30 \%\). d. Each individual who earns more than \(\$ 10,000\) pays a lump-sum tax of $\$ 10,000\(. If the individual's income is less than \)\$ 10,000$, that individual pays in taxes exactly what his or her income is. e. Of the four tax policies, which is likely to cause the worst incentive problems? Explain.

The state needs to raise money, and the governor has a choice of imposing an excise tax of the same amount on one of two previously untaxed goods: the state can tax sales of either restaurant meals or gasoline. Both the demand for and the supply of restaurant meals are more elastic than the demand for and the supply of gasoline. If the governor wants to minimize the deadweight loss caused by the tax, which good should be taxed? For each good, draw a diagram that illustrates the deadweight loss from taxation.

All states impose excise taxes on gasoline. According to data from the Federal Highway Administration, the state of California imposes an excise tax of $\$ 0.40$ per gallon of gasoline. In 2013, gasoline sales in California totaled 18.4 billion gallons. What was California's tax revenue from the gasoline excise tax? If California doubled the excise tax, would tax revenue double? Why or why not?

In Transylvania the basic income tax system is fairly simple. The first 40,000 sylvers (the official currency of Transylvania) earned each year are free of income tax. Any additional income is taxed at a rate of \(25 \% .\) In addition, every individual pays a social security tax, which is calculated as follows: all income up to 80,000 sylvers is taxed at an additional \(20 \%\), but there is no additional social security tax on income above 80,000 sylvers. a. Calculate the marginal tax rates (including income tax and social security tax) for Transylvanians with the following levels of income: 20,000 sylvers, 40,000 sylvers, and 80,000 sylvers. (Hint: You can calculate the marginal tax rate as the percentage of an additional 1 sylver in income that is taxed away.) b. Is the income tax in Transylvania progressive, regressive, or proportional? Is the social security tax progressive, regressive, or proportional? c. Which income group's incentives are most adversely affected by the combined income and social security tax systems?

See all solutions

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free