Consider a periodic review system, where orders are placed every $19$ days. The firm

strives to provide a $94\mathrm{.}84\%$ cycle service level. Demand averages $415$ units per day,

and the standard deviation of demand per day is $105$ units. Lead time is $13$

days $($round Z$-$values, standard deviations to two decimal places$).$

a$.$ How many units of safety stock should be held? units $($round your response to

the nearest integer$).$

b$.$ What should the target inventory level $($order$-$up$-$to level$)$ be$?$ units $($round your

response to the nearest integer$).$

c$.$ Suppose that it is time to review the item. There are $179$ units in inventory, and

there is an outstanding backorder for $424$ units. An order for $136$ units is on the way.

How many units should be ordered now? units $($round your response to the

nearest integer$).$