In: Math
If exactly 186 people sign up for a charter flight, Leisure World Travel Agency charges $302/person. However, if more than 186 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how many passengers will result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 186. Show that the revenue function R is given by
R(x) = (186 + x)(302 − x).
-------- passengers
What is the maximum revenue?
$ ----
What would be the fare per passenger in this case?
---- dollars per passenger