$"2)(20$ points$)-$ build a model

Tobacco is shipped from North Carolina to a cigarette manufacturer in Cambodia once a year.

The reorder point, without safety stock, is $200$ kilos.

The carrying cost is $$15$ per kilo per year, and

The cost of a stockout is $$70$ per kilo per year.

Given the following demand probabilities during the lead time,

a$)$ how much safety stock should be carried, so that the additional annual cost is minimized?

Be organized in your calculations.

Use appropriate Labels."