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?

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Demand During Lead Time$($Kilos$)$

Probability