Acompany 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 the demand for the new hot dog is given approximately by p=7−ln(x),1≤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, how should the hot dogs be priced to maximize the profit per game?

Mountain mouse makes freeze-dried meals for hikers. one of mountain mouse's biggest customers is a sporting goods superstore. every 66 days, mountain mouse checks the inventory level at the superstore and places an order to restock the meals. these meals are delivered by ups in 55 days. average demand during the reorder period and order lead time is 8585 meals, and the standard deviation of demand during this same time period is about 1919 meals.calculate the restocking level for mountain mouse. assume that the superstore wants a 95\% service level. what happens to the restocking level if the superstore wants a higher level of service-say, 99]%? the restocking level for the 95% service level is 117 mealssuppose there are 25 meals in the superstore when mountain mouse checks inventory levels. how many meals should be ordered, assuming a 95% service level?