Consider a situation where Barack (B) and Michelle (M) have demands for a public good that can be represented by the following functions: D_B: Q_B = 24 - 2P_B D_M: Q_M = 18 - 2P_M If Barack and Michelle are the only two consumers of this public good and the supply function for the good is: S: Q = -1 + P What is the socially optimal quantity of the public good?

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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Consider a situation where Barack (B) and Michelle (M) have demands for a public good that can be represented by the following functions:

D_B: Q_B = 24 - 2P_B

D_M: Q_M = 18 - 2P_M

If Barack and Michelle are the only two consumers of this public good and the supply function for the good is:

S: Q = -1 + P

What is the socially optimal quantity of the public good?

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