The annual demand for a product is $16,000$ units. The weekly demand is $308$ units with a standard deviation of $80$ units. The cost to place an order is $$30\mathrm{.}50,$ and the time from ordering to receipt is six weeks. The annual inventory carrying cost is $$0\mathrm{.}10$ per unit. a$.$ Find the reorder point necessary to provide a $95$ percent service probability. $($Round your answer to the nearest whole number.$)$ b$.$ Suppose the production manager is asked to reduce the safety stock of this item by $50$ percent. If she does so$,$ what will the new service probability be$?($Round your answer to $3$ decimal places.$)$