I have a story problem where I just don't know how to set it up.

$\displaystyle R(t)=50t/t^2+36$ R is in millions of dollars and t is in weeks. After how many weeks will the weekly revenue be maximized? What is the maximum weekly revenue?

I started doing the quotient rule:

$\displaystyle (t^2+36)(50)-(50t)(2t)/(t^2+36)^2$

$\displaystyle (50t^2+1800-100t^2)/(t^2+36)^2 = 0$

Now do I solve for t? and how would I get the maximumweeklyrevenue?