Hot Dogs are sold at M&T stadium during Raven's games. Current price is $2.50 per dog but management is thinking about changing the price to increase profit. The price determines the number of hot dogs sold. If x is the number of hot dogs sold, then the price is given by p(x) = -0.0001x + 4. Costs associated with the selling of hot dogs include a fixed cost of $1500 for materials and a variable cost of $0.80 per hot dog. Find the price of a hot dog that will maximize the profit:
