Wutz UpDogs chose a particular football stadium to test market a new jumbo hot dog. It was found that the demand for the new hot dog is given by p = 6 – In(x), 5<< 500, where z is the number of hot dogs (in thousands) that can be sold during one game at a price of p dollars per hot dog. If the company pays 1 dollar for each hot dog, how should the hot dogs be priced to maximize the profit per game? Price =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Can you help me find the price please? 

Wutz UpDogs chose a particular football stadium to test market a new jumbo hot dog. It was found that the demand for the new hot dog is given by

\[ p = 6 - \ln(x), \quad 5 < x \leq 500, \]

where \( x \) is the number of hot dogs (in thousands) that can be sold during one game at a price of \( p \) dollars per hot dog. If the company pays 1 dollar for each hot dog, how should the hot dogs be priced to maximize the profit per game?

**Price =** [Input Box]
Transcribed Image Text:Wutz UpDogs chose a particular football stadium to test market a new jumbo hot dog. It was found that the demand for the new hot dog is given by \[ p = 6 - \ln(x), \quad 5 < x \leq 500, \] where \( x \) is the number of hot dogs (in thousands) that can be sold during one game at a price of \( p \) dollars per hot dog. If the company pays 1 dollar for each hot dog, how should the hot dogs be priced to maximize the profit per game? **Price =** [Input Box]
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