A B C D Q$.3$ Order Quantity Q $1,500$ units Annual demand D $40,000$ units per year Standard deviation of annual demand sD $5,800$ units per year Mean lead time L years Standard deviation of lead time sL $0\mathrm{.}05$ years Type $1$ Service Level a Standard deviation of demand during the lead time sDL $2,714$ units per lead time Mean demand during the lead time DL $4,000$ units per lead time Standard normal variate Z Safety Stock SS $2,000$ units

Please consider the demand and lead time information provided. The logistics manager arbitrarily sets the safety stock level to $2,000$ units. What is the in$-$stock rate that is achieved in this case?

Hint: You need to work backwards here and compute the value of z that corresponds to a safety stock of $2,000$ units and then convert this value to a type $1$ service level as $=$normsdist$($z$)$