If Exactly 150 People Sign Up for a Charter Flight

Multiple Choice

If exactly 150 people sign up for a charter flight, Leisure World Travel Agency charges $250/person. However, if more than 150 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. What is the maximum revenue? What would be the fare per passenger in this case?
Hint: Let x denote the number of passengers above 150. Show that the revenue function R is given by R(x) = (150 + x) (250 - x) .

A) 250; $39,000; $250
B) 200; $40,000; $200
C) 200; $39,000; $200
D) 250; $40,000; $250