Millennium Liquors is a wholesaler of sparkling wines. Its most popular product is the French Bete Noire, which is shipped directly from France. Weekly demand is $45$ cases. Millennium purchases each case for $$105,$ there is a $$350$ fixed cost for each order $($independent of the quantity ordered$),$ and its annual holding cost is $20$ percent. Assume $52$ weeks per year.

a$.$ What order quantity minimizes Millennium's annual ordering and holding costs?

Note: Do not round intermediate calculations. Round your answer to the nearest whole number.

$\backslash$table$[[$Order quantity,cases$]]$