Case 4 - EOQ model for Speedy Wheels Speedy Wheels is a wholesale distributor of bicycles for the western United States. Its Inventory Manager, Ricky Sapolo, is currently reviewing the inventory policy for one popular model a small, one-speed girl's bicycle that is selling at the rate of 250 per month. The administrative cost for placing an order for this model from the manufacturer is $200 and the purchase price is $70 per bicycle. The annual cost of the capital tied up in inventory is 20 percent of the value of these bicycles. The additional cost of storing the bicycles including leasing warehouse space, insurance, taxes, and so on is $6 per bicycle per year. a. Use the basic EOQ model to determine the optimal order quantity and the total variable inventory cost per year. b. Speedy Wheel's customers (retail outlets) generally do not object to short delays in having their orders filled. Therefore, management has agreed to a new policy of having small planned shortages occasionally to reduce the variable inventory cost. After consultations with management, Ricky estimates that the annual shortage cost (including lost future business) would be $30 times the average number of bicycles short throughout the year. Use the EOQ model with planned shortages to determine the new optimal inventory policy. c. Compare the 2 inventory policies from parts a and b.