Posted by **Erika** on Monday, November 1, 2010 at 8:13am.

With x people on board, a South African airline makes a profit of (1104 − 3 x) rands per person for a specific flight.

A. How many people would the airline prefer to have on board?

Answer: x=

B. What is the maximum number of passengers that can board such that the airline still profits?

Answer: x=

- calculus -
**Reiny**, Monday, November 1, 2010 at 8:32am
If the profit is (1104-3x) per person, then the total

profit = x(1104-3x) = 1104x - 3x^2

d(profit)/dx = 1104 - 6x

= 0 for max profit

6x = 1104

x = 184 , (max profit = 101568)

To have any profit

x(1104-3x) > 0

critical values are x=0 or x=368

so min number of passengers is 1 for a profit of 1101, max number of passengers is 367 for a profit of 1101

## Answer This Question

## Related Questions

- math - using past data, an airline believes that 8% of the people who make ...
- Stats - An airline estimates that 91% of people booked on their flights actually...
- statistics - an airline estimates that 97%of people booked on their flights ...
- STAT - Airline overbooking is a common practice. Many people make reservations ...
- Word Problem. - Describe the misuse or misinterpretation of statistics that may ...
- stat - The ministry of transport and communication is responsible for the ...
- Probability - For any given flight, an airline tries to sell as many tickets as ...
- Probability - For any given flight, an airline tries to sell as many tickets as ...
- probability - For any given flight, an airline tries to sell as many tickets as ...
- Probability - For any given flight, an airline tries to sell as many tickets as ...

More Related Questions