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Math Help - Solving word problems using derivatives

  1. #16
    MHF Contributor MarkFL's Avatar
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    Re: Solving word problems using derivatives

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

    Solving word problems using derivatives-airfairerevenue.jpg
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  2. #17
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    Re: 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...
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    Re: 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?
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  4. #19
    MHF Contributor MarkFL's Avatar
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    Re: Solving word problems using derivatives

    How did you get 250 passengers? What is the revenue function at x = 250?
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    Re: Solving word problems using derivatives

    The problem said to find the number of passengers, not the greatest revenue.
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    Re: Solving word problems using derivatives

    Quote Originally Posted by ktkeiper View Post
    The problem said to find the number of passengers, not the greatest revenue.
    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?
    fyi, at x = 250 passengers, revenue = 0
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  7. #22
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    Re: Solving word problems using derivatives

    What formula did you use? Because with my formula, the revenue came out to $62500
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  8. #23
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    Re: Solving word problems using derivatives

    Quote Originally Posted by ktkeiper View Post
    What formula did you use? Because with my formula, the revenue came out to $62500
    for x > 100 ...

    R = x(500-2x)
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