I want to verify the solution of the given problem.
Mr Beautiful, an organization that sells 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 $6 per set per year. To meet demand, Mr. Beautiful orders large quantities of BB-1 7 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
40 0.1
50 0.2
60 0.2
70 0.2
80 0.2
90 0.1
The reorder point for BB-1 is 60 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 response as a whole number)