Calculus Word Problem
A company runs food service concessions for sporting events throughout the country. Their marketing research department chose a particular football stadium to test market a new jumbo hot dog. It was found that in order to sell hot dogs (in thousands), the price (in dollars) should be set at
p(x)= 5-ln(x), 5<x<500,
If the company pays 1 dollar for each hot dog, how should the hot dogs be priced to maximize the profit per game?