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The demand function for Product X is Qd = 100 - 2P and its supply function is Qs = -20 + P where P is

  1. The demand function for Product X is Qd = 100 - 2P and its supply function is Qs = -20 + P where P is the price of Product X in dollars while Qd is the quantity demanded and Qs is the quantity supplied (both expressed in thousands of units).

Part 1

  • What are the equilibrium price and quantity? (3 points)
  • What is the consumer surplus in the market for Product X? (2 points)
  • What is the producer surplus in the market for Product X? (2 points)
  • What is the total surplus in the market for Product X? (1 point)

Part 2

Assume that the government decide to impose a tax of $6 on the price of each Product X that consumers purchase.

  • What are the new equilibrium price and quantity? (2 points)
  • What is the new consumer surplus in the market for Product X? (2 points)
  • What is the new producer surplus in the market for Product X? (2 points)
  • What is the new total surplus in the market for Product X? (1 point)
  • Is the new market equilibrium efficient? Why? Why not? (5 points)

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