A local gas station is open 7 days per week, 365 days per year. Sales of 10W40 grade premium oil average 10 cans per day with a standard deviation of 4 canes. Inventory holding costs are 1.5$ per can per year. Ordering cost is $20 per order. Lead time is 8 days. In case of stockout, the motorist drives away and the sale is lost. So, the service station requires a service level of 95 %. If the station uses a fixed-quantity inventory management system, what would be the order quantity, the safety stock and the reorder level? If the station uses a fixed-review-period management system with 28 days review interval, what would be the order quantity if the inventory level is 55 cans at the moment of ordering?

Practical Management Science
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A local gas station is open 7 days per week, 365 days per year. Sales of 10W40 grade premium oil average 10 cans per day with a standard deviation of 4 canes. Inventory holding costs are 1.5$ per can per year. Ordering cost is $20 per order. Lead time is 8 days. In case of stockout, the motorist drives away and the sale is lost. So, the service station requires a service level of 95 %.

  1. If the station uses a fixed-quantity inventory management system, what would be the order quantity, the safety stock and the reorder level?
  2. If the station uses a fixed-review-period management system with 28 days review interval, what would be the order quantity if the inventory level is 55 cans at the moment of ordering?
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