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?