Bell computers purchases IC chips from a supplier. The supplier promises an average lead time of ten days with a standard deviation of

$2$

$.$

$5$

$$days$.$ Based on past Bell has estimated that daily demand is normally distributed with a mean of

$1$

$9$

$.$

$2$

$$and a standard deviation of

$4$

$.$

$5$

$.$

$$

$$

$1$

$.$

$$If Bell wants to maintain a service level of

$9$

$7$

$\%$

$$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

$?$