Phoenix Valley Lighting is preparing an inventory management plan for fluorescent bulbs.

They have a forecasted demand of $11,465$ bulbs per month with a MAD of $208$ bulbs per month. The lead time to receive bulbs is $1$ week and they would like to have a $93\%$ service level to avoid turning away customers. Their ordering cost is $$492$ and their holding cost is $$1$ per bulb $($breakage$)$per year.

When doing all calculations assume that there are $4$ weeks in $1$ month and there are no other contractual requirements on order quantities or frequencies.

If following a fixed order quantity inventory management system, what should their order quantity be$?$ Report your answer to two decimal places.