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There are three firms in an oligopoly industry. The market demand function for the industry is P=210-3Q. The three firms form a cartel and arrange

There are three firms in an oligopoly industry. The market demand function for the industry is P=210-3Q. The three firms form a cartel and arrange to divide total industry profits equally among them. The TC function for the cartel is given by TC=Q2/2 + 150. The MC function (which is the derivative of the TC function with respect to quantity) of the cartel is given by MC=Q.

  1. How much output will the cartel produce to maximize profit?
  2. What is the price charged by the cartel?
  3. How much profit will each firm make?

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