Friday

November 28, 2014

November 28, 2014

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

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 8:32amIf 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**

calculus - Maximimum profit: you operate a tour service that offers the ...

12th grade calculus - your operate a tour service that offers the following rate...

STAT - Airline overbooking is a common practice. Many people make reservations ...

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 ...

math - using past data, an airline believes that 8% of the people who make ...

Math - At a fair run by a local charity organization, it costs 50 cents to try ...

Statistics - Airline overbooking is a common practice. Many people make ...

Algebra - A catering company charges a $300.00 set up fee and $10.00 per person ...

stat - The ministry of transport and communication is responsible for the ...