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KJ4UTS

  • one year ago

The profit function for a firm making DVDs is P(x) = 88x - x^2 -1200. Find the number of DVDs at which maximum profit is achieved, and find the maximum profit. Please explain. Thank you!

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  1. KJ4UTS
    • one year ago
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    @peachpi

  2. some.random.cool.kid
    • one year ago
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    @Nnesha

  3. anonymous
    • one year ago
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    Is x the number of dvds?

  4. KJ4UTS
    • one year ago
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    Yeah I think so.

  5. anonymous
    • one year ago
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    It looks like this is asking for the vertex of the parabola. \(x=-\frac{b}{2a}\) is the amount of dvd where profit is max \(P(-\frac{b}{2a})\) is the maximum profit

  6. KJ4UTS
    • one year ago
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    Do I plug in the 88 and -1200 in that formula?

  7. anonymous
    • one year ago
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    -b/(2a) = -88/(2*-1)

  8. anonymous
    • one year ago
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    a is the coefficient of x² b is the coefficient of x c is the constant It helps to write it in descending order

  9. KJ4UTS
    • one year ago
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    44 so that would be the max number of dvds 88(44)-44^2-1200=$736 (the max profit)

  10. KJ4UTS
    • one year ago
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    @peachpi thank you :)

  11. anonymous
    • one year ago
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    that's what I got :) you're welcome

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