8 Extra Exercises with Answers

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California State University, East Bay *

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100B

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Economics

Date

Apr 3, 2024

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pdf

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2

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1 University of California Irvine ECON 100B Extra Exercises Exercise 1: Ben and John are two individuals who one day discover a stream that flows wine cooler instead of water. Ben and John decide to bottle the wine cooler and sell it. The marginal cost of bottling wine cooler and the fixed cost to bottle wine cooler are both zero. The market demand for bottled wine cooler is given as: P = 90 - 0.25Q where Q is the total quantity of bottled wine cooler produced and P is the market price of bottled wine cooler. a. What is the economically efficient price of bottled wine cooler? b. What is the economically efficient quantity of bottled wine cooler produced? c. If Ben and John were to collude with one another and produce the profit-maximizing monopoly quantity of bottled wine cooler, how much bottled wine cooler will they produce? d. Given the output level in (c), what price will Ben and John charge for bottled wine cooler? e. At the output level in (c), what is the welfare loss? f. Suppose that Ben and John act as Cournot duopolists, what are the reaction functions for Ben and for John? g. In the long run, what level of output will Ben produce if Ben and John act as Cournot duopolists? h. In the long run, what will be the price of wine coolers be if Ben and John act as Cournot duopolists? Answer: a. zero b. 360 c. 180 d. 45 e. 4050 f. g. 120. h. 30.
2 Exercise 2: Lambert-Rogers Company is a manufacturer of petrochemical products. The firm's research efforts have resulted in the development of a new auto fuel injector cleaner that is considerably more effective than other products on the market. Another firm, G.H. Squires Company, independently developed a very similar product that is as effective as the Lambert-Rogers formula. To avoid a lengthy court battle over conflicting patent claims, the two firms have decided to cross-license each other's patents and proceed with production. It is unlikely that other petrochemical companies will be able to duplicate the product, making the market a duopoly for the foreseeable future. Lambert-Rogers estimates the demand curve given below for the new cleaner. Marginal cost is estimated to be a constant $2 per bottle. Q = 300,000 - 25,000P. where P = dollars per bottle and a. Lambert-Rogers and G.H. Squires have very similar operating strategies. Consequently, the management of Lambert-Rogers believes that the Cournot model is appropriate for analyzing the market, provided that both firms enter at the same time. Calculate Lambert- Rogers's profit-maximizing output and price according to this model. b. Lambert-Rogers's productive capacity and technical expertise could allow them to enter the market several months before Squires's. Choose an appropriate model and analyze the impact of Lambert Rogers being first into the market. Should Lambert-Rogers hurry to enter first? Answer: a. Q = 83,333 + 83,333 = 166,666 and P = $5.33 per bottle b. Q = 125,000 + 62,500 = 187,500 and P = $4.50
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