Posted by **Jackie** on Thursday, February 9, 2012 at 9:07pm.

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)=100x-5500

I solved it:

P(x)=0

100x-5500=0

5500/100=55 Passengers.

I don't understand what is wrong

Thank You

- Math -
**Steve**, Friday, February 10, 2012 at 10:01am
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**, Wednesday, July 3, 2013 at 12:48am
Because the purpose is to make a profit. So the passengers should be 56.

## Answer This Question

## Related Questions

- Math - The hourly operating cost of an airplane, which seats up to 405 ...
- math - An airline knows that, on average, the probability that a passenger will ...
- Math - An airline know that,on average the probability that a passenger will not...
- math - If exactly 198 people sign up for a charter flight, Leisure World Travel ...
- math - If exactly 198 people sign up for a charter flight, Leisure World Travel ...
- Math - If exactly 198 people sign up for a charter flight, Leisure World Travel ...
- math - A airplane crosses the Atlantic Ocean (3000 miles) with an airspeed of ...
- calculus - You own a small airplane that holds a maximum of 20 passengers. It ...
- Math - An airplane crosses the Atlantic Ocean (3000 miles) with an ...
- math - The owner of a luxury motor yacht that sails among the 4000 Greek islands...

More Related Questions