A recently released film has its weekly revenue given by


Where R(x) is in million of dollars and x is in weeks.

(a) Find the asymptotes of the graph of the function R.
(b) Find the intervals where R is increasing and decreasing, if any.
(c) When will the revenue be maximized?
(d) Sketch the graph of R in an interval 0 ≤ x ≤ 30.