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

$6,000$

units per year. The cost of each unit is

$$97,$

and the inventory carrying cost is

$$9$

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

$120$

units. $($This is a corporate operation, and there are

$250$

working days per year$).$

Part $2$

a$)$ What is the EOQ?

$203\mathrm{.}31203\mathrm{.}31$

units $($round your response to two decimal places$).$

Part $3$

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

$101\mathrm{.}66101\mathrm{.}66$

units $($round your response to two decimal places$).$

Part $4$

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

$29\mathrm{.}5129\mathrm{.}51$

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

Part $5$

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

$8\mathrm{.}478\mathrm{.}47$

days $($round your response to two decimal places$).$

Part $6$

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

$enter your response here

per year $($round your response to two decimal places$).$