The question below:

21. Consider a coal market. Demand and supply in this market are given by Qd = 84 3Pd and Q, = 6 + 3P5. a. Determine the equilibrium price (PB) and quantity (QB) in this market. (2 pt) b. Calculate consumer Surplus, producer surplus, and social welfare in this market. (3 pt) c. A unit tax of $9lton is imposed on the producers of coal. Determine the new equilibrium quantity (0;), the price paid by the consumers (Pd), and the price received by the producers in this market (PS). (3 pt) d. Calculate consumer surplus, producer surplus, tax revenue, and social welfare under the tax. (4 pt) e. What is the deadweight loss resulting from the tax? (1 pt) 1'. Now suppose that instead of taxing producers, a unit tax of $9/ton is imposed on the consumers of coal (e.g., coalred power plants). What is the deadweight loss resulting from the tax? (1 pt)