The following regression is the demand for free-range chicken, which was estimated from (actual) nationwide data provided by a large UK retailer over a two-year period Qx= 229,821 - 38,121 Px + 28,826 Py, where: Qx = quantity of free-range chicken sold (number of units), Px = average price of free-range chicken ; and Py = average price of standard non-free-range chicken(f). The average for these variables in these two years are: Qx= 117,735, Px= f 5.56 and Py = 3.46.   Question: Calculate the values of the two price elasticities (own-price elasticity, and cross-price elasticity) and interpret them, also critically justifying whether they make intuitive sense.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter4: Estimating Demand
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The following regression is the demand for free-range chicken, which was estimated from (actual) nationwide data provided by a large UK retailer over a two-year period Qx= 229,821 - 38,121 Px + 28,826 Py,

where: Qx = quantity of free-range chicken sold (number of units), Px = average price of free-range chicken ; and Py = average price of standard non-free-range chicken(f). The average for these variables in these two years are: Qx= 117,735, Px= f 5.56 and Py = 3.46.

 

Question: Calculate the values of the two price elasticities (own-price elasticity, and cross-price elasticity) and interpret them, also critically justifying whether they make intuitive sense.

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  1. What is the functional form of this equation? What are the advantages and limitations of this functional form? 
  2. Interpret precisely the coefficients of Px and Py in the regression. 
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  • If marginal cost MC = 2.5 (assume this is constant), calculate the profit-maximising price and the revenue maximising price. In doing so, remember that
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