Posted by Jackie on .
The hourly operating cost of an airplane, which seats up to 405 passengers, is estimated to be $5,500. If an airline charges each passenger a fare of $100 per hour of flight, find the hourly profit P it earns operating the airplane as a function of the number of passengers x. (Be sure to specify the domain.)
What is the least number of passengers it must carry in order to make a profit? HINT [The cost function is constant (Variable cost = 0).]
Profit: P(x)=100x5500
I solved it:
P(x)=0
100x5500=0
5500/100=55 Passengers.
I don't understand what is wrong
Thank You

Math 
Steve,
hourly revenue = 100p for p passengers
hourly cost = 5500
revenue=cost when
100p = 5500
p = 55
looks fine to me. why do you think it's wrong? anything over 55 passengers makes a profit, at $100/hr per extra passenger. 
Math 
Meng,
Because the purpose is to make a profit. So the passengers should be 56.