One of the products stocked by a Sam's Club store is Sams Cola, which is sold in cases. The demand level for Sams Cola is highly seasonal:

During the slow season, the demand rate is approximately $1,150$ cases a month, which is the same as a yearly demand rate of $1,15012=13,800$ cases.

During the busy season, the demand rate is approximately $2,300$ cases a month, or $27,600$ cases a year.

The cost to place an order is $$6,$ and the yearly holding cost for a case of Sams Cola is $$17.$

a$.$ The EOQ for the slow season is

cases. $($Enter your response rounded to the nearest whole number.$)$