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pafoo Group Title

A company has determined that when x items are sold daily, the profit P is given by P(x)=-0.002x^2+4.3x-120 What is the profit if 700 items are made? How many items should be made daily in order to maximize the companys profit? I know the first one is 1,910, but how do I maximize the company's profit?

  • 2 years ago
  • 2 years ago

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  1. RyanL. Group Title
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    This basically asks you to find the vertex of the equation

    • 2 years ago
  2. RyanL. Group Title
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    find the derivative and set it to zero

    • 2 years ago
  3. RyanL. Group Title
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    solve for x then

    • 2 years ago
  4. pafoo Group Title
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    What formula would I use?

    • 2 years ago
  5. RyanL. Group Title
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    I don't know any formulas but I do know how to find it using a derivative

    • 2 years ago
  6. pafoo Group Title
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    Ok, any advice on how I should proceed?

    • 2 years ago
  7. RyanL. Group Title
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    Find the derivative

    • 2 years ago
  8. pafoo Group Title
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    So if I get a derivative of 4.3-0.004x, what should I do then?

    • 2 years ago
  9. RyanL. Group Title
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    set it to zero and solve for x

    • 2 years ago
  10. RyanL. Group Title
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    4.3-0.004x=0

    • 2 years ago
  11. RyanL. Group Title
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    4.3-0.004x=0 -0.004x=-4.3 x=-4.3/-0.004 x=1075

    • 2 years ago
  12. RyanL. Group Title
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    1075 items

    • 2 years ago
  13. pafoo Group Title
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    i see, so the derivative is the key, awesome, thanks!

    • 2 years ago
  14. RyanL. Group Title
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    http://www.wolframalpha.com/input/?i=-0.002x%5E2%2B4.3x-120 if you graph it you can see the highest point right? That point is called the vertex and you can find it using the derivative

    • 2 years ago
  15. pafoo Group Title
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    Ah, ok I got you.

    • 2 years ago
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