Let the market supply (representing the marginal private cost) have the form: P(Q) = 1 + 3Q, and the inverse market demand (representing the marginal social benefit) has the form: P(Q) = 25 - Q. Suppose that the production of Q is characterized by a negative externality. The magnitude of the externality (marginal damage) is $4 per unit of Q.   a) Find the equilibrium price, quantity, consumer surplus, and the producer surplus resulting from an unregulated market in Q.   b) Compute the net economic benefit to society which results from an unregulated market in Q. Note: you need to account for the total damages resulting from an externality.   c) What is the socially efficient quantity of Q

ECON MICRO
5th Edition
ISBN:9781337000536
Author:William A. McEachern
Publisher:William A. McEachern
Chapter17: Externalities And The Environment
Section: Chapter Questions
Problem 2.3P: (Negative Externalities) Suppose you wish to reduce a negative externality by imposing a tax on the...
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Let the market supply (representing the marginal private cost) have the form: P(Q) = 1 + 3Q, and the inverse market demand (representing the marginal social benefit) has the form: P(Q) = 25 - Q. Suppose that the production of Q is characterized by a negative externality. The magnitude of the externality (marginal damage) is $4 per unit of Q.

 

a) Find the equilibrium price, quantity, consumer surplus, and the producer surplus resulting from an unregulated market in Q.

 

b) Compute the net economic benefit to society which results from an unregulated market in Q. Note: you need to account for the total damages resulting from an externality.

 

c) What is the socially efficient quantity of Q?

 

d) At the efficient allocation, what is the net benefit to society?

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