Consider a continuous review inventory system. Demand is normally distributed with an average of $28,000$ per month and a monthly standard deviation of $5000$ units. Lead time

is $3$ weeks $($assume four weeks per month$)($round Z$-$values, standard deviations to two decimal places$).$

If the firm desires $a(n)87\%$ cycle service level, it should hold

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