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Chapter $12,$ question $31$:

Mr$.$ Beautiful, an organization that sells weight training sets, has an ordering cost of $$40$ for the BB$-1$ set. $($BB$-1$ stands for Body Beautiful Number $1.)$ The carrying cost for $BB-1$ is $$5$ per set per year. To meet demand, Mr$.$ Beautiful orders large quantities of $BB-1$ seven times a year. The stockout cost for $BB-1$ is estimated to be $$50$ per set. Over the past several years, Mr$.$ Beautiful has observed the following demand during the lead time for BB$-1$:

$\backslash$table$[[$DEMAND$,],[$DURING$,],[$LEAD TIME,PROBABILIT$],[40,\mathrm{.}1],[50,\mathrm{.}2],[60,\mathrm{.}2],[70,\mathrm{.}2],[80,\mathrm{.}2],[90,\mathrm{.}1],[,1\mathrm{.}0]]$

The reorder point for $BB-1$ is $60$ sets. What level of safety stock should be maintained for $BB1?$

Safety stock $=0$ unit

Safety stock $=30$ units

Safety stock $=10$ units

Safety stock $=20$ units

Safety stock $=40$ units