SOLUTION: A record label uses the following function to model the sales of a new release. a(t)=-90t squared + 8100t. The number of albums sold as a funtion of time, t, in days. On which day

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: A record label uses the following function to model the sales of a new release. a(t)=-90t squared + 8100t. The number of albums sold as a funtion of time, t, in days. On which day       Log On


   



Question 116335This question is from textbook
: A record label uses the following function to model the sales of a new release. a(t)=-90t squared + 8100t. The number of albums sold as a funtion of time, t, in days. On which day were the most albums sold? what is the maxium number of albums sold on that day. This question is from textbook

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
a%28t%29+=+-90t%5E2+%2B+8100t
when is this a maximum?
The vaue od t at maximum is %28-b%29+%2F+%282a%29
where a+=+-90
and b+=+8100
%28-b%29+%2F+%282a%29+=+-8100+%2F+2%2A%28-90%29
-8100+%2F+-180+=+45
The max number of albums is sold on day 45
a%28t%29+=+-90t%5E2+%2B+8100t
a%28t%29+=+-90%2A%2845%29%5E2+%2B+8100%2A45
a%28t%29+=+-182250+%2B+364500
a%28t%29+=+182250 albums sold on day 45