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Part $1$

At Dot$$ Com, a large retailer of popular$$ books, demand is constant at

$20$ comma $40020,400$

books per year. The cost of placing an order to replenish stock is

$$$$88,$

and the annual cost of holding is

$$$$2\mathrm{.}002\mathrm{.}00$

per book. Stock is received

$1212$

working days after an order has been placed. No backordering is allowed. Assume

$275275$

working days a year.

Part $2$

a$.$ Dot$$ Com's optimal order quantity is

$404404$

books. $($Enter your response rounded to the nearest whole$$ number.$)$

Part $3$

b$.$ The optimal number of orders per year is

$5151$

orders. $($Enter your response rounded to the nearest whole$$ number.$)$

Part $4$

c$.$ The optimal interval$($in working$$ days$)$ between orders is

$5\mathrm{.}45\mathrm{.}4$

days. $($Enter your response rounded to one decimal$$ place.$)$

Part $5$

d$.$ The demand during lead time is

$890890$

books. $($Enter your response rounded to the nearest whole$$ number.$)$

Part $6$

e$.$ The reorder point is

$890890$

books. $($Enter your response rounded to the nearest whole$$ number.$)$

Part $7$

f$.$ The inventory position immediately after an order has been placed is

enter your response here

books.