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Suppose a price searching firm faces a demand curve given by Q = 30−.5P, and has...

Suppose a price searching firm faces a demand curve given by Q = 30−.5P, and has an average cost curve given by AC = 8.
a. Find the equations for the marginal revenue curve and the marginal cost curve.
  
b. Find the profit maximizing level of output and the profit maximizing price. At this combination, what is the level of firm profit? What is the level of deadweight loss?
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