Thomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation.$$ Thomas's fastest$-$moving inventory item has a demand of $5,950$ units per year. The cost of each unit is $$$$97,$ and the inventory carrying cost is $$$$8$ per unit per year. The average ordering cost is $$$$29$ per order. It takes about $5$ days for an order to$$ arrive, and the demand for $1$ week is $119$ 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 $5,950$ units?