A consumer's utility only depends on the consumption of goods A and B according to the following Cobb - Douglas utility function: U(A, B) = A3/5 B 2/5. The price of goods A and B are $10 and $10, respectively. The consumer has a budget of $1500 that he can use to consume the two goods. a) Calculate the optimal bundle and maximized utility for the consumer. b) A new tax of $5 is imposed on the price of good B. Compute the new optimal bundle of good A and B for the same consumer. What is the utility loss due to the tax? c) Show that the consumer would prefer a lump sum income tax that raises the same revenue of $200 as the tax on good B.

A consumer's utility only depends on the consumption of goods A and B according to the following Cobb - Douglas utility function: U(A, B) = A3/5 B 2/5. The price of goods A and B are $10 and $10, respectively. The consumer has a budget of $1500 that he can use to consume the two goods. a) Calculate the optimal bundle and maximized utility for the consumer. b) A new tax of $5 is imposed on the price of good B. Compute the new optimal bundle of good A and B for the same consumer. What is the utility loss due to the tax? c) Show that the consumer would prefer a lump sum income tax that raises the same revenue of $200 as the tax on good B.

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter15: Decision Analysis

Section: Chapter Questions

Problem 22P: Three decision makers have assessed utilities for the following decision problem (payoff in...

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