Consider a continuous review inventory system. Demand is normally distributed with an average of $4000$ per month and a monthly standard deviation of $500$ units. Lead time is $8$ weeks $($assume four

weeks per month$).$

Please round Z$-$values and standard deviations to two decimal places.

If the firm desires a$($n$)97\mathrm{.}50\%$ cycle service level, it should hold

units of safety stock $($round your response to the nearest integer$).$