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How do you find marginal profit (calculus)?

Please only answer if you know what you’re doing. This is not as simple as plugging in 5 for x and the answer is not 85 or 8500.

Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) =4x^2 – 5x + 10. Find the marginal profit at x = 5.

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This entry was posted on Monday, May 10th, 2010 at 12:20 am and is filed under plug in profits. You can follow any responses to this entry through the RSS 2.0 feed. Both comments and pings are currently closed.

2 Responses to “How do you find marginal profit (calculus)?”

  1. G T Says:
    May 10th, 2010 at 12:49 am

    P’(x) = 8x – 5
    P’(5) = 8(5) – 5
    = 40 – 5
    = 35

    Marginal profit is $3,500

  2. Andy J Says:
    May 10th, 2010 at 12:51 am

    Marginal profit is the derivative of profit:

    P’(x) = 8x – 5
    P’(5) = 8*5 – 5 = 40 – 5 = 35 (in hundreds, so 3500)