Let the consumer have the utility function a. Show that the utility maximizing demands are and b. Letting p1 = p2 = 1, use the inverse elasticity rule to show that the optimal tax rates are related by c. Setting w = 100, r1 = 0:75, and r2 = 0:5, find the tax rates required to achieve revenue of R = 0:5 and R = 10. d. Calculate the proportional reduction in demand for the two goods comparing the no-tax position with the position after imposition of the optimal taxes for both revenue levels. Comment on the results.

Let the consumer have the utility function a. Show that the utility maximizing demands are and b. Letting p1 = p2 = 1, use the inverse elasticity rule to show that the optimal tax rates are related by c. Setting w = 100, r1 = 0:75, and r2 = 0:5, find the tax rates required to achieve revenue of R = 0:5 and R = 10. d. Calculate the proportional reduction in demand for the two goods comparing the no-tax position with the position after imposition of the optimal taxes for both revenue levels. Comment on the results.

Microeconomics A Contemporary Intro

10th Edition

ISBN:9781285635101

Author:MCEACHERN

Publisher:MCEACHERN

Chapter5: Elasticity Of Demand And Supply

Section5.A: Appendix: Price Elasticity And Tax Incidence

Problem 1AQ

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