Mr$.$ Beautiful, an organization that sells weight training sets, has an ordering cost of $$35$ for the BB$-1$ set $($BB$-1$ stands for Body Beautiful Number $1).$ The carrying cost for BB$-1$ is $$5$ per set per year. To meet demand, Mr$.$ Beautiful orders large quantities of BB$-17$ times a year. The stockout cost for BB$-1$ is estimated to be $$15$ per set. Over the past several years, Mr$.$ Beautiful has observed the following demand during the lead time for BB$-1$: