Fisk Corporation is trying to improve its inventory control system and has installed an online computer at its retail stores. Fisk anticipates sales of $112,500$ units per year, an ordering cost of $$3$ per order, and carrying costs of $$1\mathrm{.}20$ per unit.

a$.$What is the economic ordering quantity?

b$.$How many orders will be placed during the year?

c$.$What will the average inventory be$?$

d$.$What is the total cost of ordering and carrying inventory?