Answer questions $3-7$ according to the given information.

Henderson Furniture sells reproductions of $18$th$-$century furniture. For a particular table, the assumptions of the inventory model with backorders are valid.

Annual Demand: D $=200$ tables per year

Inventory holding cost $($as a percent of the item cost$)$: I $=25\%$ per year

Item cost: C $=$ $$800$ per table

Ordering cost: Co $=$ $$80$ per order

Backordering cost: Cb $=$ $$50$ per table per year

The store is open $250$ days a year