Problem V$\mathrm{.}2.$a

$0/1$ punto $($calificado$)$

Suppose we operate a retail store that sells hammers. Demand for hammers is normally distributed with average demand of $\backslash$mu $=20$ hammers per week with a standard deviation of $\backslash$sigma $=10$ hammers per week.

Suppose the store uses a periodic review inventory policy with a base stock policy. The review period is four weeks. The average lead time is three weeks with a standard deviation of one week. The service measure is the fill rate and the target is a $98\%$ fill rate.

What is the minimal base stock level to achieve the service target? Round UP to the nearest integer.