Suppose the city of Davis imposes a luxury tax on latte producers of $1 per latte. Assume the latte market is perfectly competitive. Suppose also demand for lattes (per hour) is given by Q = 20 - 2P, and supply is given by P=2, where P is in $. What is the new price and quantity sold after the tax? How much of the tax is paid by the producers? What is the deadweight loss (per hour) from the tax?