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A homogeneous products duopoly faces a market demand function given by P a - Q, where QQ Q2 and a>300. Both firms have constant marginal costs MC-100. There are no fixed costs. a) What is firm 1s optimal quantity given that firm 2 produces an output of 50 units per year? And what is firms 1 quantity if firm 2 produces 20 units? [4 marks] b) Derive the equation of each firms reaction function and provide a graphical explanation to comment your results. [4 marks] c) What is the Cournot equilibrium quantity per firm and price in this market? [6 marks] d) What would be the market equilibrium quantity and price if the two firms were [8 marks] perfectly competitive? Please comment results comparing them to the ones obtained in the Cournot equilibrium. e) What are the Cournot equilibrium quantities and industry price if both firms marginal costs decrease to MC 90? [8 marks]

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Nou -50100- a- 150 2 b) at Courroteqm Rotuing two BA gitaweuoly a-100 BR,ca) 100100- 2 5%(%) d) Nou P.cthep PMC l00 80 100-a-(31%) , 8 a loo both Shane Mkt Equal Raker Cowpt, buoq-they get puobir。answering only first four parts is mandatory by HomeworkLib policy

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