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 $20 per unit per year, and the cost of a stockout is $60 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).