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 $50$ cases. Millennium purchases each case for $$110,$ there is a $$350$ fixed cost for each order $($independent of the quantity ordered$),$ and its annual holding cost is $25$ percent.$($Do not round intermediate calculations. Round your answer to the nearest whole number.$)$

If Millennium chooses to order $350$ cases each time, what is the sum of its annual ordering and holding costs?