Eagle Electronics uses a Q$-$model to make inventory decisions about a replacement part for a laptop computer. Average daily demand is $12$ units with a standard deviation of $10$ units, while it costs $$4$ to hold unit for a year and $$200$ to place an order. The order lead time is $4$ days and the business operates $300$ days per year. Approximately how much safety stock is required to maintain a service level of $98\%?($Round your answer to the nearest whole number.$)$

Question $22$ options:

$4$

$33$

$41$

$123$