A regional distributor purchases discontinued appliances from various suppliers and then sells them on demand to retailers in the region. The distributor operates $5$ days per week, $52$ weeks per year. Only when it is open for business can orders be received. Management wants to re$-$evaluate its current inventory policy, which calls for order quantities of $440$ counter$-$top mixers. The following data re estimated for the mixer:

Average daily demand $()=100$ mixer

Standard deviation of daily demand $()=30$ mixers

Lead time $($L$)=3$ days

Holding cost $($H$)=$ $$9\mathrm{.}40/$ unit $/$ year

Ordering cost $($S$)=$ $$35/$ order

Cycle$-$service level $=92\%$