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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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!

Mathematics
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Is x the number of dvds?

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Yeah I think so.
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
Do I plug in the 88 and -1200 in that formula?
-b/(2a) = -88/(2*-1)
a is the coefficient of x² b is the coefficient of x c is the constant It helps to write it in descending order
44 so that would be the max number of dvds 88(44)-44^2-1200=$736 (the max profit)
@peachpi thank you :)
that's what I got :) you're welcome

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