Problem $27$ and $28$: Periodic Review Inventory Models.

A company uses the periodic review inventory model to calculate its reorder quantity. The company currently places orders weekly. The item is produced and shipped from Asia with a lead time of eight weeks. The company currently has $1\mathrm{.}000$ items on hand. If the company uses the product at the rate of $250$ per week, with a standard deviation of daily usage of $50$ over the uncertainty period, what order quantity is needed to achieve a service level of $98$ percent? $(28.)$ How would a reduction in lead$-$time to four weeks affect the order quantity?