It is your responsibility, as the new head of the automotive section of Nichols Department Store, to ensure that reorder quantities for the various items have been correctly established.

You decide to test one item and choose Michelin tires, XW size 185 14 BSW. A perpetual inventory system has been used, so you examine this as well as other records and come up with the following data:

Cost per tire Holding cost Demand Ordering cost Standard deviation of daily demand Delivery lead time

$35 each 20 percent of tire cost per year 1,000 per year

$20 per order 3 tires 4 days Because customers generally do not wait for tires but go elsewhere, you decide on a service probability of 98 percent. Assume the demand occurs 365 days per year.

a. Determine the order quantity.

b. Determine the reorder point.