The manager at Goodstone Tires, a distributor of tires in Illinois, uses a continuous review policy to manage their inventory. The manager currently orders 10,000 tires when the inventory of tires drops to 6,000. Weekly demand for tires is normally distributed with a mean of 2,000 and a standard deviation of 500. The replenishment lead for tires is two weeks. Each tire costs Goodstone $40 and the company sells each tire for $80. Goodstone incurs a holding cost of 25 percent.
What cycle service level is implied by the safety inventory they hold?