The following questions are based on the same context. The last question is a bonus question for extra credit.

Millennium Liquors is a wholesaler of sparkling wines. Their most popular product is the French Bete Noire which is shipped directly from France. Weekly demand is for $45$ cases. Millennium purchases each case for $$120,$ there is a $$300$ fixed cost for each order $($independent of the quantity ordered$)$ and their annual holding cost is $25$ percent. Consider $52$ weeks in a year.

What order quantity minimizes Millennium$$s annual ordering and holding costs $($round to the nearest integer$)?$