Mr.Beautiful, an organization that sells weight training sets, has an ordering cost of $35 for theBB-1 set (BB-1 stands for Body Beautiful Number1). The carrying cost for BB-1 is $20per set per year. To meet demand, Mr. Beautiful orders large quantities of BB-1 4times a year. The stockout cost for BB-1 is estimated to be $15per 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 | |
| 100 | 0.1 | |
| 120 | 0.2 | |
| 140140 | 0.2 | |
| 160160 | 0.2 | |
| 180180 | 0.2 | |
| 200200 | 0.1 |
The reorder point for BB-1 is 140sets. What level of safety stock should be maintained for BB-1?
The optimal quantity of safety stock which minimizes expected total cost is ? (enter your response as a whole number).
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