Bell computers purchases IC chips from a supplier. The supplier promises an average lead time of ten days with a standard deviation of $2\mathrm{.}5$ days. Based on past Bell has estimated that daily demand is normally distributed with a mean of $19\mathrm{.}2$ and a standard deviation of $4\mathrm{.}5.$

$1.$ If Bell wants to maintain a service level of $97\%$ how much safety stock should they hold? What is the reorder point?

$2.$ If Bell wants to hold $5$ days of inventory as safety stock what will their service level be$?$