$1.$ The Go$-$Pro Extreme is a retail outlet that deals exclusively with Go$-$Pro cameras. The manager is trying to decide on an inventory and reorder policy for the economic travel use of a Go$-$Pro camera.

Each economic model Go$-$Pro camera costs $$220$ and demand is about $990$ per year distributed evenly throughout the year.

Reordering costs are $$98$ per order and holding costs are figured at $25\%$ of the cost of the item. The shop is open $300$ days a year $(6$ days a week and closed two weeks in January for New Years Holiday$).$ Lead time is $50$ working days.

What is the optimal order quantity?

$*$Enter the number only$**$

$*$Do not use any words or symbols$**$

$*$Round your answer to two decimal places only$**$