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A duopoly faces the following demand curve, Q = 30 - P (also P = 30...

A duopoly faces the following demand curve, Q = 30 - P (also P = 30 - Q). Firm 1 can produce Q1, and firm 2 can produce Q2 so that Q = Q1 + Q2. Both firms have zero marginal cost.

a. Find the equilibrium price and quantity if the firms collude and behave monopolistically.

b. Find the equilibrium price and quantity for each firm if they behave as Cournot competitors.

c. Find the equilibrium price and quantity for each firm if they behave as Stackelberg competitors with Firm 1 being the dominant firm.

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