Question $8(5$ points$)$

Worldwide Wholesaler operates $360$ days per year and uses a P$-$model to make inventory decisions about a replacement part for exotic cars. Daily demand has been forecast to be $600$ units and the standard deviation of daily demand is $300.$ The order interval is $30$ days and the order lead time is $19$ days. The company desires to maintain a service level of $91\%$ for this part. Which of the following responses is closest to the appropriate level of target inventory?

$23,726$

$10,587,455$

$32,216$

$5,621$