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11 Dec 2019

1. Suppose market demand for oranges is given by QD = 20 2P where QD is quantity demanded and P is the market price. Market supply is given by QS = P 1 where QS is quantity supplied and P is the market price.

(a) Find the equilibrium price and quantity in this market.

(b) What is the consumer surplus and producer surplus?

(c) Suppose that the government imposes a $3 tax on the good, to be included in the posted price (i.e. tax paid by suppliers). What is new equilibrium posted price? How much of that price do producers keep? What is the new market equilibrium quantity? What is the loss in surplus for consumers? Producers?

(d) Suppose instead the government imposes the $3 tax on top of the posted price (i.e. paid by consumers). What is the new equilibrium posted price? How much do the consumers pay for each unit of the good? What is the new market equilibrium quantity? How does consumer surplus and producer surplus compare to those in part (b)?

(e) Suppose instead of the tax, the government limits quantity to be no more than 4 units. Compare this policy, in terms of how it impacts producers and consumers, to the tax. What would producers prefer, the quantity restriction or the tax?

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