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 $6$ comma $0506,050$ units per year. The cost of each unit is $$9999,$ and the inventory carrying cost is $$1111$ per unit per year. The average ordering cost is $$3131$ per order. It takes about $55$ days for an order to arrive, and the demand for $1$ week is $121121$ units. $($This is a corporate operation, and there are $250250$ working days per year$).$Part $2$a$)$ What is the EOQ? $274274$ units $($round your response to two decimal places$).$ What isaverage inventiry