A store uses a continuous review system $($Q system$)$ for one of its items having the following characteristics:

Demand D $=20$ units$/$week $($assume $52$ weeks per year$),$ standard deviation in weekly demand $=5$ units

Ordering or setup cost $($S$)=$ $$40/$order

Holding cost $($H$)$ per item per year $=$ $$10$

Lead time $($L$)=4$ weeks $($constant$)$

z $=1\mathrm{.}62($for cycle$-$service le