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Consider a duopoly with homogeneous goods. Assume that inverse demand in that market is given by: = . Also, assume that total costs are given

Consider a duopoly with homogeneous goods. Assume that inverse demand in that market is given by: = . Also, assume that total costs are given by 1 = 11 + 1 and 2 = 22 + 2. (a) Examine this market assuming firms are playing a quantity setting game (Hint: you may ignore the fixed costs to see the result, and then see how the fixed costs affect the location of the isoprofit curves). (i) Determine the Cournot-Nash equilibrium in this market. (6 marks) (ii) Illustrate the reaction functions for each firm. (3 marks) (iii) Illustrate the isoprofit curves for each firm. (3 marks)

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