new head of the automotive section of Nichols Department

It is your responsibility, as the new head of the automotive section of Nichols DepartmentStore, 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$35 eachHolding cost20 percent of tire cost per yearDemand1,000 per yearOrdering cost$20 per orderStandard deviation of daily demand3 tiresDelivery lead time4 daysBecause 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.