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Part $1$

Consider a periodic review$$ system, where orders are placed every $20$ days. The firm strives to provide a $95\mathrm{.}05\%$ cycle service level. Demand averages $410$ units per$$ day, and the standard deviation of demand per day is $106$ units. Lead time is $9$ days$($round Z$-$values, standard deviations to two decimal$$ places$).$