Tobacco is shipped from North Carolina to a cigarette manufacturer in Cambodia once a year. The reorder$$ point, without safety$$ stock, is kilos. The carrying cost is $$$ per kilo per$$ year, and the cost of a stockout is $$$ per kilo per year. Given the following demand probabilities during the lead$$ time, how much safety stock should be$$ carried?

$$

Demand During Lead Time$($Kilos$)$

Probability

Part $2$

The optimal quantity of safety stock which minimizes expected total cost is

$$

enter your response here kilos $($enter your response as a whole$$ number$).$