Consider a market where supply and demand are given by Q_X^S = -16 + P_X and Q_X ^d = 92 - 2P_{X -} . Suppose the government imposes a price floor of $40, and agrees to purchase and discard any and all units consumers do not but at the floor price of $40 per unit.

a. determine the cost to the government of buying the firms unsold units.

$ ________

b. compute the lost social welfare (dead weight loss) that stems from the $40 price floor.

$ _________