Mr$.$ Beautiful, an organization that sells weight training$$ sets, has an ordering cost of $$$$40$ for the$$ BB$-1$ set$($BB$-1$ stands for Body Beautiful Number$1).$ The carrying cost for$$ BB$-1$ is $$$$18$ per set per year. To meet$$ demand, Mr$.$ Beautiful orders large quantities of$$ BB$-14$ times a year. The stockout cost for$$ 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$-1$: