A small publisher reprints a novel to satisfy the demand over the next $12$ months. The demand estimates for the successive months are $100,120,50,70,90,105,115,95,80,85,100,$ and $110.$ The setup cost for reprinting the book is $$200\mathrm{.}00,$ and the holding cost per book per month is $$1\mathrm{.}20.$ Determine the optimal reprint schedule.