Problem: 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

The optimal quantity pf safety stock which minimizes expeted total cost is ____ kilos (enter anwser as a whole number).