East Publishing Company employs a high-speed printing press in its operations. A typical production run of 5,000 to 50,000 copies of a textbook can be produced in less than one day. The manager of the business textbook division is attempting to determine the optimal number of copies of the seventh editions of its financial management and managerial economics textbooks to produce. Expected annual demand for the two books are 50,000 and 22,500 copies, respectively.
Furthermore, the manager does not want to produce more than a 3-year supply of either book because these textbooks are normally revised after the third year. Setup costs of getting the printing press (and bindery) ready for a production run of a given textbook are $2,500 and $2,000, respectively, for the two books. Annual carrying costs are $0.80 per copy (16 percent annual carrying charge times the $5.00 production cost per copy). For each textbook, determine the following:
a. The economic order quantity
b. The total annual inventory costs
c. The optimal ordering frequency.