ControlCorin sells Sunday papers outside a retirement home on Sunday mornings. Corin collects $$2\mathrm{.}70$ per paper and pays $$0\mathrm{.}71$ for a paper. The retirement home residents think fondly of Corin and aren$$t too upset when papers run out. On the other hand, any papers Corin is left with are thrown into the recycling bin. Corin is trying to figure out a systematic ordering policy. When Corin runs out of papers, the sale is lost.

Demand is uniformly distributed between $15$ and $59$ newspapers per day. Calculate the optimal stocking. $($round off to the nearest whole number$)$