A local distributor expects $to$ sell approximately $1,040$

units $of$ products next year. Annual carrying cost $is$ $$1$

per unit, and ordering cost $is$ $$20.$ The distributor

operates $300$ days a year.

$(1)$ What $is$ the EOQ?

$(2)$ How many times per year does the store reorder?

$(3)$ What $is$ the length $ofan$ order cycle? $(in$ days$)$

$(4)$ What $is$ the total annual cost $if$ the EOQ quantity $is$ ordered?

$(5)If$ order $in$ batches $of400$ rather than EOQ, what additional

$costisit$ incurring?