Due to a recession that lowered incomes, the 2008 market prices for last-minure rentals of U.S. beach -front properties were lower than usual. Suppose that the inverse demand function for renting a beach-front property in Ocean City, New Jersey, during the first weel of August is p=1,000 - Q + Y/20, where Y is the median annual income of the people involved in this market, Q is quantity, and p is the rental price. The inverse supply function is p= Q/2 + Y/40.
A) Derive the equilibrium price, p and quantity Q in terms of Y.
B) Use a supply and demand analysis to show the effect of decreased income on the equilibrium price of rental homes. That is find dp/dY. Does a decrease in median income lead to a decrease in the equilibrium rental price?