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Paver, a pet product superstore, is considering pricing a new Paver-labeled dog food. The company will buy the premium dog food from a company in
Paver, a pet product superstore, is considering pricing a new Paver-labeled dog food. The company will buy the premium dog food from a company in Indiana that packs the product with a Paver label. Paver pays $9 for a 50-pound bag delivered to its store. The company also sells Royal Dog Food (under the Royal Dog Food label), which it purchases for $12 per 50-pound bag and sells for $20.99. The company currently sells 23,000 bags of Royal Dog Food per month, but that is expected to change when the Paver brand is introduced. The company will continue to price the Royal Dog Food brand at $20.99. The quantity of Paver and the quantity of Royal Dog Food that will be sold at various prices for Royal are estimated as: Price Paver Quantity Quantity Paver Royal $9.99 31,800 10,800 $10.99 30,800 11,100 $11.99 30,800 11,300 $12.99 29,800 11,800 $13.99 27,400 12,800 $14.99 23,000 13,800 $15.99 14,200 14,800 $16.99 9,800 18,800 $17.99 5,400 20,800 For example, if Paver is priced at $9.99, the company will sell 31,800 bags of Paver and 10,800 bags of Royal at $20.99. If the company prices Paver at $17.99, it will sell 5,400 bags of Paver and 20,800 bags of Royal at $20.99. This is 2,200 fewer bags of Royal than is currently being sold. Calculate the profit-maximizing price for the Paver brand, taking into account the effect of the sales of Paver on sales of the Royal Dog Food brand. (Round Profit-maximizing price to 2 decimal places, e.g. 15.25 and other answers to O decimal places, e.g. 5,245. Enter loss using either a negative sign preceding the number e.g. -15.25 or parentheses e.g. (15.25).) Price of Paver Price of Royal $9.99 $20.99 $ 10.99 20.99 11.99 20.99 12.99 20.99 13.99 20.99 14.99 20.99 15.99 20.99 16.99 20.99 17.99 20.99 N/A 20.99 Profit-maximizing price $ Profit/(Loss)
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