Discuss teh below in detail:
Q: Mr. Beautiful, an organization that sets weight training sets, has an ordering cost of $45 for the BB-1 set (BB-1 stands for Body Beautiful Number 1). The carrying cost for BB-1 is $18 per set per year. To meet demand, Mr. Beautiful orders large quantities of BB-1 5 times a year. The stockout cost for BB-1 is estimated to be $40 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
100 0.1
120 0.2
140 0.2
160 0.2
180 0.2
200 0.1
The reorder point for BB-1 is 140 sets. What level of safety stock should be maintained for BB-1?
The optimal quantity of safety stock which minimizes expected total cost is sets (enter your response as a whole number).