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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!
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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is x the number of dvds?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It 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

KJ4UTS
 one year ago
Best ResponseYou've already chosen the best response.0Do I plug in the 88 and 1200 in that formula?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0b/(2a) = 88/(2*1)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0a is the coefficient of x² b is the coefficient of x c is the constant It helps to write it in descending order

KJ4UTS
 one year ago
Best ResponseYou've already chosen the best response.044 so that would be the max number of dvds 88(44)44^21200=$736 (the max profit)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that's what I got :) you're welcome
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