KJ4UTS
  • KJ4UTS
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
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
KJ4UTS
  • KJ4UTS
@peachpi
some.random.cool.kid
  • some.random.cool.kid
@Nnesha
anonymous
  • anonymous
Is x the number of dvds?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

KJ4UTS
  • KJ4UTS
Yeah I think so.
anonymous
  • anonymous
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
KJ4UTS
  • KJ4UTS
Do I plug in the 88 and -1200 in that formula?
anonymous
  • anonymous
-b/(2a) = -88/(2*-1)
anonymous
  • anonymous
a is the coefficient of x² b is the coefficient of x c is the constant It helps to write it in descending order
KJ4UTS
  • KJ4UTS
44 so that would be the max number of dvds 88(44)-44^2-1200=$736 (the max profit)
KJ4UTS
  • KJ4UTS
@peachpi thank you :)
anonymous
  • anonymous
that's what I got :) you're welcome

Looking for something else?

Not the answer you are looking for? Search for more explanations.