Short Answer

Calculating Market vs. Socially Optimal Output

Consider the market for a new type of air filter that not only cleans the air in a user's home but also reduces airborne pollutants in the immediate neighborhood. The marginal private benefit (MPB) for consumers is represented by the equation P = 200 - 2Q, and the marginal private cost (MPC) for producers is P = 20 + Q, where P is the price per filter and Q is the quantity of filters. The reduction in neighborhood pollution creates a marginal external benefit (MEB) of $30 per filter. Assuming the marginal private cost equals the marginal social cost (MSC), calculate the market equilibrium quantity and the socially optimal quantity. Explain why these two quantities differ.

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Updated 2025-10-01

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