The elected officials in a west coast university town are concerned about the "exploitative" rents being charged to college students. The town council is contemplating the imposition of a $350 per month rent ceiling on apartments in the city. An economist at the university estimates the demand and supply curves as: Q D = 5600 - 8P Q S = 500 + 4P, where P = monthly rent, and Q = number of apartments available for rent. For purposes of this analysis, apartments can be treated as identical. a. Calculate the equilibrium price and quantity that would prevail without the price ceiling. (2 points) b. Calculate producer surplus and consumer surplus (calculate both individually) at this equilibrium. (2 points) Then sketch a diagram showing both. (1.5 point) c. What quantity will eventually be available if the rent ceiling is imposed? (1 point) d. Calculate any changes in consumer surplus and producer surplus from the price ceiling (calculate any changes in both individually). (2 points) e. Does the proposed rent ceiling result in a gain in total surplus? (1 point)