Imagine a market where there is a positive externality in production. The private (and social) inverse demand function for the good is: D_private: P_D = 22 - 1.5Q_D.   The private inverse supply function is:   S_private: P_S = 8 + 0.5Q_S.   The social inverse supply function that accounts for the positive externality in production is:   S_social: P_S = 2 + 0.5Q_S.   What is the deadweight loss from the externality?

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter10: Externalities
Section10.1: Externalities And Market Inefficiency
Problem 1QQ
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Imagine a market where there is a positive externality in production. The private (and social) inverse demand function for the good is:

D_private: P_D = 22 - 1.5Q_D.

 

The private inverse supply function is:

 

S_private: P_S = 8 + 0.5Q_S.

 

The social inverse supply function that accounts for the positive externality in production is:

 

S_social: P_S = 2 + 0.5Q_S.

 

What is the deadweight loss from the externality?

 
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