Question $22$

$0\mathrm{.}5pts$

The Office Supply Shop estimates that the average demand for a popular ball$-$point pen is $10,000$ pens per week with a standard deviation of $1,000$ pens. The average lead time from the distributor is $6$ weeks, with a standard deviation of $2$ weeks. If management wants a $90$ percent cycle$-$service level, what should the safety stock point be$?$ Round it to nearest integer.

$60,000$

$25,823$

$85,823$

$20,149$

$76,893$