There is a lead time $($the time between when the order is placed and the time it arrives at the store$)$ associated with

every order. The quoted lead time is $2$ days, but the actual lead time is a discrete uniform distribution $($use google if you

must$)$ between $1$ and $4$ days. There are currently $5$ model $9000$s in stock.

Mr$.$ Smith assigns you, the purchasing manager, to determine the order quantity, Q$,$ and reorder point, R$,$ that best

reduces the combined monthly costs of inventory, ordering, and stock out. The order quantity, Q$,$ is a fixed quantity

that will be ordered every time. The reorder point, R$,$ is the inventory level that triggers an order. If the inventory at the

end of the day is below the reorder point, an order is placed for Q units.