You have decided to use the economic order quantity $($EOQ$)$ calculation to determine the order quantity for a product you purchase from a supplier. For this particular item, the daily demand is $11$ units. The unit cost is $$10$ and the supplier charges you a fee of $$64$ each time you place an order $($to cover clerical and shipping costs$).$ You have checked with accounting, who told you the annual inventory carrying cost for this type of item is $30\%.$ If you consistently order the EOQ quantity, how many days $($on average$)$ would you expect between placing orders? Assume that there are $365$ days in each year and round your answer to the nearest integer value.