A firm in the competitive market produces two goods, 1 and 2. The firm face a cost function C(q1,92) = 4q? + 4q3, where q1 and q2 are the quantity of good 1 and 2 produced by the firm respectively. The price of good 1 is 8 and the price of good 2 is 4. What is the profit maximizing production quantity for the firm? a. q1 = 1, q2 = O b. q1 = 1, 92 = 1 c. 91 = , 92 = 1 d. q1 = 0, q2 = 0
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- The cost per unit of producing a product is 60 + 0.2x dollars, where x represents the number o produced per week. The equilibrium price determined by a competitive market is $220. a) How many units should the firm produce and sell each week to maximize its profit? What is the maximum profit?The market demand for Gucci bags is given by the function P = 75 - 1.5Q. P is price per bag, and Q is output per time period. The market supply is given as P = 25 + 0.50Q. A typical competitive firm that markets this type of bag has a marginal cost of production of MC = 2.5 + 10q. a) Calculate the market equilibrium price for the bags as well as the output rate in the market. b) Calculate how much the typical firm will produce per time period at the equilibrium price. c) If all firms had the same cost structure, how many firms would compete at the equilibrium price computed in (a) above?3. What is the market equilibrium quantity?
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