At Dot Com, a large retailer of popular books, demand is constant at $20,400$ books per year. The cost of placing an order to replenish stock is $$35,$ and the annual cost of holding is $$2\mathrm{.}00$ per book. Stock is received $12$ working days after an order has been placed. No backordering is allowed. Assume $275$ working days a year.

a$.$ Dot Com's optimal order quantity is ${845}^{\text{'}}$ books. $($Enter your response rounded to the nearest whole number.$)$

b$.$ The optimal number of orders per year is $24$ orders. $($Enter your response rounded to the nearest whole number.$)$

c$.$ The optimal interval $($in working days$)$ between orders is days. $($Enter your response rounded to one decimal place.$)$

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