Authentic Thai rattan chairs are delivered to Gary Schwartz's chain of retail stores, called The Kathmandu Shop, once a year. The reorder point, without safety stock, is 200 chairs. Carrying cost is $30 per unit per year, and the cost of a stockout is $80 per chair per year.
Given the following demand probabilities during the lead time, how much safety stock should be carried?
Demand during lead time Probability
0 0.2
100 0.2
200 0.2
300 0.2
400 0.2
The optimal quantity of safety stock which minimizes expected total cost is _ units (enter your response as a whole number).

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