Consider a market where supply and demand are given by Q_X^S= -14 + P_Xand Q_X^d= 85 - 2P_X. Suppose the government imposes a price floor of $38, and agrees to purchase and discard any and all units consumers do not buy at the floor price of $38 per unit.

a. Determine the cost to the government of buying firms' unsold units.

$

b. Compute the lost social welfare (deadweight loss) that stems from the $38 price floor.

$