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 $20 per kilo per year, and the cost of a stockout is $70 per kilo per year.

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 $20 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, how much safety stock should be carried?
Demand During Lead Time(Kilos) Probability

0 ………………. ……………………………….0.1
100 ………………………………………………0.1
200 …………………………………………….. 0.2
300 ………………. …………………………….0.4
400 ………………. …………………………….0.2

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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 $20 per kilo per year, and the cost of a stockout is $70 per kilo per year.
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The optimal quantity pf safety stock which minimizes expeted total cost is ____ kilos (enter anwser as a whole number).

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