A local distributor for a national tire company expects to sell approximately $9,810$ tires of a certain size and tread design next year. Annual carrying cost is $$16$ per tire and ordering cost is $$80.$ The distributor operates $287$ days a year.

a$.$ What is the EOQ? $($Round your answer to a whole number.$)$

b$.$ How many times per year does the store reorder? $($Round your answer to two decimal points.$)$

c$.$ What is the length of an order cycle? $($Round your answer to two decimal points.$)$

d$.$ What will the total annual carrying and ordering cost be if the EOQ quantity is ordered? $($Round your answer to a whole number.$)$