A graph of price, P$,$ versus quantity, Q$,$ shows a supply curve, S$,$ rising linearly from $(15,1)$ to $(85,8),$ and a demand curve, D$,$ descending linearly from $(20,9)$ to $(60,1).$ The curves intersect at $(45,4).$

Refer to Figure $6-8.$ When a certain price control is imposed on this market, the resulting quantity of the good that is actually bought and sold is such that buyers are willing and able to pay a maximum of P $1$ dollars per unit for that quantity and sellers are willing and able to accept a minimum of P $2$ dollars per unit for that quantity. If P $1-$ P $2=$ $$3,$ then the price control is

a$.$ a price ceiling of $$3\mathrm{.}00.$

b$.$ a price ceiling of $$5\mathrm{.}00.$

c$.$ a price floor of $$6\mathrm{.}00.$

d$.$ either a price ceiling of $$3\mathrm{.}00$ or a price floor of $$6\mathrm{.}00.$