thomas kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. Thomas's fastest$-$moving inventory item has a demand of $5,800$ units per year. the cost of each unit is $$103,$ and the inventory carrying cost is $$9$ per unit per year. The average ordering cost is $$29$ per order. It takes about $5$ days for an oder to arrive, and the demand for $1$ week is $116$ units. $($this is a corporate operation, and there are $250$ working days per year$).$

A$)$ What is the EOQ?

B$)$ What is the average inventory if the EOQ is used?

C$)$ What is the optimal number of orders per year?

D$)$ What is the optimal number of days in between any two orders?

E$)$ What is the annual cost of ordering and holding inventory?

F$)$ What is the total annual inventory cost, including cost of the $5,800$ units?