Mr.? Beautiful, an organization that sells weight training? sets, has an ordering cost of ?$40 for the? BB-1 set? (BB-1 stands for Body Beautiful Number? 1). The carrying cost for? BB-1 is ?$5 per set per year. To meet? demand, Mr. Beautiful orders large quantities of? BB-1 4 times a year. The stockout cost for? BB-1 is estimated to be ?$45 per set. Over the past several? years, Mr. Beautiful has observed the following demand during the lead time for? BB-1:
Demand During Lead Time Probability
10 0.1 20 0.2 30 0.2 40 0.2 50 0.2 60 0.1
The reorder point for? BB-1 is 30 sets. What level of safety stock should be maintained for? BB-1? The optimal quantity of safety stock which minimizes expected total cost is nothing sets ?(enter your response as a whole? number).