The inventory level for an item is reviewed on a continuous basis and the retailer uses a $($q$,$r$)$ policy to manage the inventory for the item. The delivery lead time for the item is $2$ weeks. The weekly demand for the item is normally distributed with a mean of $800$ units and a standard deviation of $10$ units. Currently, the retailer places an order equivalent to $4$ weeks' demand when there are $2$ weeks' demand worth of inventory is left.a$.[2$ points$]$ What are the current order quantity and reorder level for this item?b$.[2$ points$]$ What are the parameters of demand during lead time for this item?c$.[1$ points$]$ What is the implied Type I service level under the current policy?d$.[1$ points$]$ What is the implied Type II service level under the current policy?