Thomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation.$$ Thomas's fastest$-$moving inventory item has a demand of $6,100$ units per year. The cost of each unit is $$$$102,$ and the inventory carrying cost is $$$$11$ per unit per year. The average ordering cost is $$$$31$ per order. It takes about $5$ days for an order to$$ arrive, and the demand for $1$ week is $122$ units.$($This is a corporate$$ operation, and there are $250$ working days per$$ year$).$

Part $2$

$$a$)$ What is the$$ EOQ? enter your response here units $($round your response to two decimal$$ places$).$