3. Market equilibrium: A market has an aggregate demand curve given by p = 15 - zy and an aggregate supply curve given by p = y. (a) Solve for the market equilibrium price and quantity and show it on a clear complete graph. (b) Calculate the point elasticity of demand at the market equilibrium quantity. What is the marginal revenue for the firms at the equilibrium point. (c) Suppose the government imposes a $2 per unit tax on the demanders of this good. Solve for the new equilibrium and show it on a graph. (Use the graph in (a) if you like.) (d) Is the outcome with the tax efficient? Explain. Could the government do any better by imposing a $2 per unit tax on the suppliers instead? Explain