The demand and supply curves are given by q = 100 − 2p and q = 3p − 50, respectively; the equilibrium price is $30 and the equilibrium quantity is 40 units. A sales tax of 5% is imposed on the consumer.

(a) Find the equation of the new demand and supply curves.

(b) Find the new equilibrium price and quantity.

(c) How much is paid in taxes on each unit? How much of this is paid by the consumer and how much by the producer?

(d) How much tax does the government collect?