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 units per year. The cost of each unit is $?$ $ $?,$ ?and the inventory carrying cost is $?$ $ per unit per year. The average ordering cost is $?$ $ per order. It takes about days for an order to $?$ ?arrive, and the demand for $1$ ?week is units. $?($ This is a corporate $?$ ?operation, and there are working days per $?$ ?year $).$

Part $2$

$?$ a $)$ ?What is the $?$ ?EOQ?

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$217\mathrm{.}43$ ?units $?($ round your response to two decimal $?$ ?places $).$

Part $3$

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

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$108\mathrm{.}72$ ?units $?($ round your response to two decimal $?$ ?places $).$

Part $4$

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

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enter your response here orders $?($ round your response to two decimal $?$ ?places $).$