2. (30 points) Suppose that there are three consumers in the market. for a certain good. Two (of the three) consumers are identical and each has a demand function given by Bil?) = '50 if), Where i = 1,2. The third consumer has a demand function given by Djipl = 40 41p. The aggregate supply fmictiOn is given by 509) = 339 - 20. (a) Find the aggregate demand function for this market and shew it graphically (include 5'3 and y intercepts and the kink point). No-tax policy: (b) Solve for the market equilibrium quantity and price, and calculate the elasticity of de- mand at the equilibrium point. Is the demand elastic or inelastic? Justify your answer. Tax policy: (c) Suppose the government imposes a t = $4 per unit tax for this good on the suppliers. Present graphically the effect of the tax policy. ((1) Solve for the new equilibrium quantity, price for the consumers and price for the suppli- ers. What is the tax incidence? (2) Calculate the tax revenue and the deadweiglit loss (DI-V15) as a result of the tax policy