3. Let's consider the market for cups of coffee purchased at local coffee shops. Suppose that aggregate demand for coffee is given by QP=20,000-2500P, where P represents the price of a cup of coffee and Q represents the quantity of cups in a given day. Suppose aggregate supply is given by QS = 5000P - 10000. (a) What are the equilibrium price and quantity in the market? (b) Calculate the elasticity of demand ED and the elasticity of supply ES at the market equilibrium price and quantity. If a tax is imposed on coffee purchases, do you expect consumers Page 1 or producers to bear more of the tax burden? (c) Now suppose a tax of t = $0.30 is imposed on coffee sales. More specifically, at the time of any transaction, for each cup purchased, the consumer is taxed $0.30 above the sticker price. Who bears the statutory incidence of the tax? (d) Compute the new coffee equilibrium with the tax. What are the new equilibrium price and quantity? How many fewer cups of coffee are sold are a result of the tax? (e) How is the incidence of the $0.30 tax borne between producers and consumers?