for every firemen stationed at the local fire station. Then, the price is being set at a level p* at which each individual demands ally optimal number of firemen. the price p* ? Assuming that the cost of each fireman is equal to 1, would the government be able to finance the firemen using e payments from the two citizens? The price is p* = 1/2, which is enough to finance the socially optimal number of firemen. The price must be p* = 0, which is not enough to finance the socially optimal number of firemen. The price is p* = 1, which is enough to finance the socially optimal number of firemen. The price is p* = 1/2, which is not enough to finance the socially optimal number of firemen.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Some people claim that the right option is c, some think  d 

Could you please help figure out why?

Anna and Bob are the only residents of a small town. The town currently funds its fire department solely from the individual
contributions of these two residents. Each of the two residents has a utility function over private goods x and total number of firemen
M, of the form: u(x, M) = 2 ln x + In M. The total provision of firemen hired, M , is the sum of the number hired by each of the
two persons: M = Mª + M². Ann and Bob both have income of 200 each, and the price of both the private good and a fireman is
1. They are limited to providing between 0 and 200 firemen. For the purposes of this problem, you can treat the number of firemen as
a continuous variable (it could be man-years).
Transcribed Image Text:Anna and Bob are the only residents of a small town. The town currently funds its fire department solely from the individual contributions of these two residents. Each of the two residents has a utility function over private goods x and total number of firemen M, of the form: u(x, M) = 2 ln x + In M. The total provision of firemen hired, M , is the sum of the number hired by each of the two persons: M = Mª + M². Ann and Bob both have income of 200 each, and the price of both the private good and a fireman is 1. They are limited to providing between 0 and 200 firemen. For the purposes of this problem, you can treat the number of firemen as a continuous variable (it could be man-years).
Consider the setup from Question 2. The government proposes an alternative, market-based solution. They charge each citizen the
price p for every, firemen stationed at the local fire station. Then, the price is being set at a level p* at which each individual demands
the socially optimal number of firemen.
What is the price p* ? Assuming that the cost of each fireman is equal to 1, would the government be able to finance the firemen using
only the payments from the two citizens?
The price is p*
1/2, which is enough to finance the socially optimal number of firemen.
а.
b. The price must be p* = 0, which is not enough to finance the socially optimal number of firemen.
The price is p* = 1, which is enough to finance the socially optimal number of firemen.
С.
d. The price is p*
1/2, which is not enough to finance the socially optimal number of firemen.
%D
Transcribed Image Text:Consider the setup from Question 2. The government proposes an alternative, market-based solution. They charge each citizen the price p for every, firemen stationed at the local fire station. Then, the price is being set at a level p* at which each individual demands the socially optimal number of firemen. What is the price p* ? Assuming that the cost of each fireman is equal to 1, would the government be able to finance the firemen using only the payments from the two citizens? The price is p* 1/2, which is enough to finance the socially optimal number of firemen. а. b. The price must be p* = 0, which is not enough to finance the socially optimal number of firemen. The price is p* = 1, which is enough to finance the socially optimal number of firemen. С. d. The price is p* 1/2, which is not enough to finance the socially optimal number of firemen. %D
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