# Two firms produce differentiated products and set prices to maximize their individual profits. Demand functions for the firms are given by

Will you please help me work through the following problem? I am having trouble with the setup and with the calculations necessary to arrive at the solutions. Two firms produce differentiated products and set prices to maximize their individual profits. Demand functions for the firms are given by Q1 =644P1 +2P2 Q2 =505P2 +P1 Where P1, P2, Q1, Q2, refer to prices and outputs of firms 1 and 2 respectively. Firm 1s marginal cost is $5 while firm 2s marginal cost is $4. Each firm has a fixed cost of $50. a) Assuming that the two firms decide on prices independently and simultaneously, calculate the best response function of each firm in terms of prices. b) Calculate the resulting equilibrium price quantity combination for each firm. c) Illustrate the answer with a graph. d) Calculate optimal profits of each firm. Additional Requirements Min Pages: 1 Level of Detail: Show all work Other Requirements: Please provide the setup and calculations so that I am able to see how to arrive at each answer.