The market demand for (pairs of) socks is given by D(P) = 170 – 3P and the market supply is characterized by S(P) = P– 30. In both expressions, P is the price per unit of a pair of socks. The government introduces a per unit subsidy of S per pair of socks, that is paid out to the producer for each sale of a pair of socks. a) What is the equilibrium price and quantity before the government intervenes in the market? b) What is the equilibrium price and quantity after the government intervenes in the market imposing a per subsidy S > 0? Hint: You have to find the equilibrium for all relevant levels of S c) Calculate changes in consumer surplus, producer surplus and welfare, as a function of subsidy S, due to the introduction of the subsidy. What welfare conclusion(s) do you draw? d) Illustrate graphically.
The market demand for (pairs of) socks is given by D(P) = 170 – 3P and the market supply is characterized by S(P) = P– 30. In both expressions, P is the price per unit of a pair of socks. The government introduces a per unit subsidy of S per pair of socks, that is paid out to the producer for each sale of a pair of socks. a) What is the equilibrium price and quantity before the government intervenes in the market? b) What is the equilibrium price and quantity after the government intervenes in the market imposing a per subsidy S > 0? Hint: You have to find the equilibrium for all relevant levels of S c) Calculate changes in consumer surplus, producer surplus and welfare, as a function of subsidy S, due to the introduction of the subsidy. What welfare conclusion(s) do you draw? d) Illustrate graphically.
Chapter4: Markets In Action
Section: Chapter Questions
Problem 1SQP
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