homas 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

$5,750$

units per year. The cost of each unit is

$$96\mathrm{.}11,$

and the inventory carrying cost is

$$9\mathrm{.}88$

per unit per year. The average ordering cost is

$$29\mathrm{.}16$

per order. It takes about

$5$

days for an order to arrive, and the demand for $1$ week is

$115$

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

$250$

working days per year$).$

Part $2$