The daily demand for a product is distributed following the Normal distribution with mean $($average$)$ of $100$ units and standard deviation of $40$ units. The lead time of delivery of the product is $9$ days. What is the Base Stock level under the Periodic Review policy with a review period of $10$ days for a $97\mathrm{.}5\%$ service level? $($Use z $=1\mathrm{.}98).$ Select the closest number.

Group of answer choices

$2,245$

$1,138$

$900$

$3,560$