A company has average demand of $30$ units per day. Lead time from the supplier averages seven days. Assume that the combined standard deviation of demand during lead time has been calculated and is equal to $20$ units. One unit costs $$10$ and the inventory carrying cost is $25$ percent.

$1$ standard deviation covers $84\mathrm{.}13\%$

$1\mathrm{.}04$ standard deviations covers $85\%$

$1\mathrm{.}28$ standard deviations covers $90\%$

$1\mathrm{.}65$ standard deviations covers $95\%$

$1\mathrm{.}96$ standard deviations covers $97\mathrm{.}5\%$

$2$ standard deviations covers $97\mathrm{.}72\%$

$2\mathrm{.}33$ standard deviations covers $99\%$

$3$ standard deviations covers $99\mathrm{.}86\%$

$6$ standard deviations covers $99\mathrm{.}99966\%$

Suppose management decides it wants to offer a $95$ percent service level. That is$,$ it is willing to experience a stockout probability of $5$ percent during the order cycle. What is the annual carrying cost of this safety stock policy?