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ajaz_eco_204_2012_2013_chapter_17__18_PP

ajaz_eco_204_2012_2013_chapter_17__18_PP - University of...

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University of Toronto, Department of Economics (STG). ECO 204, S. Ajaz Hussain. Do not distribute. 1 ECO 204 Chapter 17 & 18: Practice Problems & Solutions for Firms with Market Power: Business Apps and Price Discrimination in ECO 204 (this version 2012-2013) Department of Economics (STG), ECO 204, Sayed Ajaz Hussain _________________________________________________________________________________________________ P RACTICE P ROBLEMS W ITH S OLUTIONS TO : C HAPTER 17 AND 18 : Firms with Market Power: Business Applications and Price Discrimination Updated: 4/17/2013 Question 17.1 True or false: a firm with ample capacity and market power charging optimal 1 st degree price discrimination prices will produce the same total output as if it were charging the “perfectly competitive” uniform price? Do NOT solve any profit maximization problems and use graphs to illustrate your answer. Question 17.2 A company with market power has constant returns and the following general Profit Maximization Problem. ( ) ( ) (a) Setup, solve, and derive the conditions for the various Kuhn-Tucker cases, given that the company can charge a uniform price or 1 st degree price discrimination prices. You must express all first order conditions and the conditions for the Kuhn-Tucker various cases in terms of marginal revenue and marginal cost only. State all assumptions and show all calculations. (b) In the pap er “Econometric Analysis of Collusive Behavior in a Soft-Drink Market published in the Journal of Economics and Management Strategy (Summer 1992), Gamsi, Laffont and Vuong (GLV) estimated the following demand functions for Coke and Pepsi concentrate syrup based on quarterly data 1968 1986: The subscript is for Coke and is for Pepsi where: = quarterly quantity of syrup sold = price of syrup (1986 dollars) = square root of quarterly advertising expenses (1986 dollars) { = real income (1986 dollars)
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University of Toronto, Department of Economics (STG). ECO 204, S. Ajaz Hussain. Do not distribute. 2 ECO 204 Chapter 17 & 18: Practice Problems & Solutions for Firms with Market Power: Business Apps and Price Discrimination in ECO 204 (this version 2012-2013) The average values of the variables in the data set (except season) were: ̅̅̅̅ ̅̅̅̅ ̅̅̅ ̅̅̅ ̅̅̅̅ ̅̅̅̅ ̅ GLV also estimated Coke and Pepsi’s average variable cost to be (these are constant across seasons): Assume Pepsi’s and Coke’s costs stem from manufacturing concentrate syrup only (think of Pepsi and Coke as producing syrup for gate delivery). What type of “returns to variable inputs” do Pepsi and Coke have? Give a brief explanation. (c) Derive Pepsi’s demand curve for spring/summer and fall/winter. State all assumptions, show all calculations, and derive all figures up to two decimal places . (d) Assume Pepsi is a profit maximizer and charges a uniform price. What i s Pepsi’s “optimal capacity” in spring/summer and fall/winter? State all assumptions, show all calculations, and derive all figures up to two decimal places . Hint #1: If Pepsi were to build the production facility for the first time, what capacity would it choose? Hint #2: When is the value of expanding capacity zero?
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