A monopolist faces the inverse demand function P(x) = a - bx and produces with constant marginal cost c. a. Determine the effect on equilibrium price of the introduction of a specific tax of value t.Is the tax over shifted? b. Calculate the effect on profitof the tax. Show that 5% =x, where x is the equillorium output level. Explain this result, . Now replace the specific tax with an ad valorem tax at rate t. Find a pair of taxes that lead to the same level of tax revenue. Which gives a lower price?

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter8: Monopoly
Section: Chapter Questions
Problem 15SQ
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A monopolist faces the inverse demand function P(x) = a - bx and produces with constant marginal cost c. a. Determine the effect on equilibrium price of the introduction of a specific tax of value t.Is the tax over shifted? b. Calculate the effect on profitof the tax. Show that 5% =x, where x is the equillorium output level. Explain this result, . Now replace the specific tax with an ad valorem tax at rate t. Find a pair of taxes that lead to the same level of tax revenue. Which gives a lower price?
A monopolist faces the inverse demand function P(x) = a - bx and produces with constant marginal cost c.
a. Determine the effect on equilibrium price of the introduction of a specific tax of value t. Is the tax over shifted?
b. Calculate the effect on profit of the tax. Show that =x, where x is the equilibrium output level. Explain this result.
C. Now replace the specific tax with an ad valorem tax at rate t. Find a pair of taxes that lead to the same level of tax revenue. Which gives a lower price?
=-X,
dt
Transcribed Image Text:A monopolist faces the inverse demand function P(x) = a - bx and produces with constant marginal cost c. a. Determine the effect on equilibrium price of the introduction of a specific tax of value t. Is the tax over shifted? b. Calculate the effect on profit of the tax. Show that =x, where x is the equilibrium output level. Explain this result. C. Now replace the specific tax with an ad valorem tax at rate t. Find a pair of taxes that lead to the same level of tax revenue. Which gives a lower price? =-X, dt
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