Suppose demand and supply are given by Qd = 50 P and Qs = P

Suppose demand and supply are given by Qd = 50 – P and Qs = ½ P – 10.
a. What are the equilibrium quantity and price in this market?
b. Determine the quantity demanded, the quantity supplied, and the magnitude of the surplus if a price floor of $42 is imposed in this market.
c. Determine the quantity demanded, the quantity supplied, and the magnitude of the shortage if a price ceiling of $30 is imposed in this market. Also, determine the full economic price paid by consumers.