Henderson Furniture sells reproductions of 18th century furniture. For a particular dining table, the assumptions of the inventory model with backorders is valid. The annual demand is 300 tables with an inventory holding rate of 25%. The cost of each table is $1800. The order cost is $100 per order and the manager estimates a backorder cost of $50 per table per year. The store is open 250 days per year.

a. What is the optimal order quantity? (Round UP to whole number)

b. What is the optimal number of planned backorders? (Round to whole numbers)

c. What is the maximum inventory?

d. What is the total annual backorder cost? (2 places) $

e. What is the total annual cost for this inventory model? (2 places) $