A firm's inverse demand is P - 800-40: its inverse supply function is P = 400+40. A graph appears below. S P 800 600 400 D Q 50 200 a. Calculate the consumer surplus. Р / Qs - - Qs = 600 - 3 1(50) 9(50) b. Calculate the producer surplus. 400 QD 100 4(Q) 9(200) 2 4 0.5 C. If the government imposes a price ceiling of $500, will this cause a shortage or surplus? Quantify the amount of the shortage or surplus. d. Calculate the deadweight loss from the price ceiling described in part c.