Suppose that the equilibrium quantity in the market for gadgets has been 85,000 per month. Then a tax of $6 per gadget is imposed on gadgets. As a result, the price paid by buyers increases by $4 and the after-tax price received (and kept) by sellers falls by $2. Given this tax imposition, the government is able to raise $481,740 per month in tax revenue. We can conclude that the imposition of the tax (x) has caused a deadweight loss by an amount more than $13,750 but less than $14,500 per month. (y) has reduced the equilibrium quantity of gadgets by more than 4,450 but less than 4,675 gadgets per month. (z) has reduced consumer surplus by more than $328,750 per month and has reduced producer surplus by more than $164,775 per month.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter12: The Partial Equilibrium Competitive Model
Section: Chapter Questions
Problem 12.10P
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Suppose that the equilibrium quantity in the market for gadgets has been 85,000 per month. Then a tax of $6 per gadget is imposed on gadgets. As a result, the price paid by buyers increases by $4 and the after-tax price received (and kept) by sellers falls by $2. Given this tax imposition, the government is able to raise $481,740 per month in tax revenue. We can conclude that the imposition of the tax (x) has caused a deadweight loss by an amount more than $13,750 but less than $14,500 per month. (y) has reduced the equilibrium quantity of gadgets by more than 4,450 but less than 4,675 gadgets per month. (z) has reduced consumer surplus by more than $328,750 per month and has reduced producer surplus by more than $164,775 per month.
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Deadweight loss happens when a trade no longer profits the traders. It is usually created by conditions that impact consumer access to a good, which in turn applies an additional burden to sellers that are losing out on sales.

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