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 (£). The average for these variables in these two years are:  = 117,735; = £ 5.56; and  = 3.46. 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 TRx = Qx · Px, and from the demand equation we obtain (note that  is the average value of Py). How do these prices compare with the current price?

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  1. 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 (£). The average for these variables in these two years are:  = 117,735; = £ 5.56; and  = 3.46.


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

TRx = Qx · Px, and from the demand equation we obtain

(note that  is the average value of Py). How do these prices compare with the current price?

 

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