Solve these demand and supply questions: The demand function for commodity x is q = 1, 000 − 10pd, where pd is the price paid by consumers. The supply function for x is q = 100+20ps, where ps is the price received by suppliers. For each unit sold, the government collects a tax equal to half of the price paid by consumers. Find the equilibrium prices and quantities. (Hint: in equilibrium, supply must equal demand).

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter8: Understanding Markets And Industry Changes
Section: Chapter Questions
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Solve these demand and supply questions:

  1. The demand function for commodity x is q = 1, 000 − 10pd, where pd is the price paid by consumers. The supply function for x is q = 100+20ps, where ps is the price received by suppliers. For each unit sold, the government collects a tax equal to half of the price paid by consumers. Find the equilibrium prices and quantities. (Hint: in equilibrium, supply must equal demand).
  2. The demand for yak butter is given by 120 − 4pd and the supply is 2ps − 30, where pd is the price paid by demanders and ps is the price received by suppliers, measured in dollars per hundred pounds. Quantities demanded and supplied are measured in hundred-pound units. Draw the demand curve (with blue ink) and the supply curve (with red ink) for yak butter.
  3. Write down the equation that you would solve to find the equilibrium price. What is the equilibrium price of yak butter? What is the equilibrium quantity? Label the equilibrium price and quantity on the graph p1 and q1.
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