A study finds that the noise from airplanes is harmful; hence, the government imposes a $25 tax on the sale of every airplane. This amount accurately accounts for the external cost of the noise pollution. Before the corrective tax, airplane tickets regularly sold for $190. After the tax is in place, the market price for airplane tickets rises to $195. Because of the tax, the number of airplane tickets sold will decrease . The socially optimal price of airplane tickets is $ . The private market price is $ . A firm selling airplane tickets receives $ after it pays the tax.