< Part A: Krugman Model of Monopolistic Competition > Each firm in a monopolistically competitive industry faces the demand function: 2 LG p+ + TANP), 1+N 1+N q - where q is quantity sold, which depends positively the on average competitor's price p and negatively on the firm's own price p. Total number of firms is denoted by N. For questions 1-3, assume there are N = 9 firms in the industry. The population L = 144. 1) If a single firm reduces its price by 0.1, how much will sales (quantity) increase if no other firms change their price? 2) If all firms reduce their prices by 0.1 at the same time, how much will sales increase for each firm? 3) Explain any difference between your answer to questions 1 and 2. For questions 4-6, assume there are two countries. Country A has a population of L = 144, and Country B has a population of L = 340. For all firms, both the marginal and fixed cost of production are one, i.e., c = 1 and f = 1. 4) Compute the autarky equilibrium for Country A. Your answer should give the equilibrium number of firms, sales, price, and the average cost for firms. 5) Now assume free trade between A and B. Compute the free trade equilibrium for A and B and re-calculate all the quantities you computed in Question 4. 6) Explain why Country A gains from trade.