$2$

$.$

$$Consider a company that experiences uncertain demand and lead times for a particular product. The average demand for the product is

$1$

$0$

$0$

$$units per week, with a standard deviation of

$2$

$0$

$$units$.$ The average lead time is

$2$

$$weeks$,$ with a standard deviation of

$1$

$$week$.$ The company aims for a service level of

$9$

$5$

$\%$

$.$

Calculate the safety stock required to meet the company's service level target. Use the standard normal distribution.