An external distributor of a construction company expects to sell approximately $9600$ concrete pillars of a certain size for the next year.Annual holding cost is $$16$ per pillars, and the ordering cost is $$75$ per order. The distributor operates $288$ days a year. What is the EOQ? How many times per year would the store reorder if the EOQ is ordered? What is the length of an order cycle if the EOQ is ordered? What is the total cost?