country. Their A company runs food service concessions for sporting events throughout the marketing research department 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 approximately by p=8 In(x), 5 < x < 500, where x is the number of hot dogs (in thousands) that can be sold during one game at a price of p dollars. If the company pays 1 dollar for each hot dog, what price should they charge to maximize profit per game?