Problem $2(30$ points$)$: You just opened a new business with no inventory on

hand or in$-$transit and no backlog before day $1.$ The table below gives demand

arrivals in the next ten days. Suppose that the lead time of your supply $L=3.$

Please complete the following table under three different policies: i$)$ base stock

policy with base stock level $25,$ ii$)(s,S)$ policy with $s=15$ and $S=28,$ and iii$)$

$(r,nQ)$ policy with $r=24$ and $Q=7.$

In the table, inventory on hand and backlog are counted after serving demand

and inventory in transit is counted before placing an order.