Using the fixed$-$time period inventory model, and given an average daily demand of $60$ units, $15$ days between inventory reviews, $5$ days for lead time, a service probability of $70$ percent, and a standard deviation of demand over the review and lead time of $100$ units, which of the following is the order quantity?

$863$

$968$

$1,144$

$1,252$

$2,510$