Consider a continuous review inventory system. Demand is normally distributed with an average of $3000$ per month and a monthly standard deviation of $800$ units. Lead time is $11$ weeks $($assume four weeks per month$).$

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

If the firm desires $a(n)87\mathrm{.}70\%$ cycle service level, it should hold units of safety stock $($round your response to the nearest integer$).$