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11. (15 marks) Suppose that a market is described by the following supply and demand equations: QS = 3P QP = 100 - P a. Solve for the equilibrium price and the equilibrium quantity. b. Suppose that a tax of $20 is placed on buyers, solve for the new equilibrium. What happens to the price received by sellers, the price paid by buyers, and the quantity sold? c. Now suppose that a tax of $20 is placed on the seller, solve for the new equilibrium. What happens to the price received by sellers, the price paid by buyers, and the quantity sold