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Consider a monopolist facing a market demand given by:                                  

  1. Consider a monopolist facing a market demand given by:

                                       P = 100 – 2Q

Where P is the price and Q is quantity. The monopolist produces the good according to the cost function c(Q) = Q2 + 10.

  1. Determine the profit-maximizing quantity and price the monopolist will offer in the market
  2. Calculate the profits for the monopolist
  3. Calculate the deadweight loss due to a monopoly. Illustrate this in a well labeled diagram.
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