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For a monopolist firm the demand and the total cost functions are given as Q = 20-0.5P and TC= 4Q2-8Q+15, respectively. 

Find

  1. a) the optimum quantity and the optimum price level
  2. b) the profit/loss on these levels
  3. c) at what price should the monopolist shut down?

d) Show the economic profit (loss) of the firm in a graphic representation

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