Here is a plot of the revenue function for problem 1:

Attachment 26493

Printable View

- Jan 6th 2013, 12:20 PMMarkFLRe: Solving word problems using derivatives
Here is a plot of the revenue function for problem 1:

Attachment 26493 - Jan 6th 2013, 12:29 PMktkeiperRe: Solving word problems using derivatives
Yes, thank you. I managed to finish that one. I got 250 passengers. Which seems much more reasonable than my first answer of 15000...

- Jan 6th 2013, 12:42 PMMarkFLRe: Solving word problems using derivatives
How did you get 250 passengers? What is the revenue function at x = 250?

- Jan 6th 2013, 12:42 PMktkeiperRe: Solving word problems using derivatives
Okay, I understand that I need to substitute x^2 in for y, but in what? In the distance formula?

- Jan 6th 2013, 01:05 PMktkeiperRe: Solving word problems using derivatives
The problem said to find the number of passengers, not the greatest revenue.

- Jan 6th 2013, 02:14 PMskeeterRe: Solving word problems using derivativesQuote:

A chartering company will provide a plane for a fare of $300 per person for 100 or fewer passengers (but more than 60 passengers.) For each passenger over 100, the fare is decreased $2 per person for everyone. What number of passengers would provide__the greatest revenue__?

- Jan 6th 2013, 04:46 PMktkeiperRe: Solving word problems using derivatives
What formula did you use? Because with my formula, the revenue came out to $62500

- Jan 6th 2013, 04:55 PMskeeterRe: Solving word problems using derivatives