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Harvey Gold, orders an unusual olive from the island of Santorini, off the Greek coast. Over the years he has noticed considerable variability in the time it takes to receive orders of these olives. He can place a replenishment order at any time. On average the order lead time is 4 months and the standard deviation is 6 weeks (1.5 months). The monthly demand for olives is normally distributed with a mean of 15 jars and a standard deviation of 6. The fixed ordering cost =$500, the cost of a jar to Harvey is $10 a jar, and the annual inventory holding cost is 18% of the product's cost ($10 per jar). Assume 4 weeks each month and 90% service level. Find the reorder point s, amount of safety stock, order-up-to level S, average inventory level, and the annual inventory-related cost. Table of Z-values for normal distribution: 91% Service level z-value 95% 1.65 90% 92% 93% 94% 96% 97% 98% 99% 1.29 1.34 1.41 1.48 1.56 1.75 1.88 2.05 2.33

Harvey Gold, orders an unusual olive from the island of Santorini, off the Greek coast. Over the years he has noticed considerable variability in the time it takes to receive orders of these olives. He can place a replenishment order at any time. On average the order lead time is 4 months and the standard deviation is 6 weeks (1.5 months). The monthly demand for olives is normally distributed with a mean of 15 jars and a standard deviation of 6. The fixed ordering cost =$500, the cost of a jar to Harvey is $10 a jar, and the annual inventory holding cost is 18% of the product's cost ($10 per jar). Assume 4 weeks each month and 90% service level. Find the reorder point s, amount of safety stock, order-up-to level S, average inventory level, and the annual inventory-related cost. Table of Z-values for normal distribution: 91% Service level z-value 95% 1.65 90% 92% 93% 94% 96% 97% 98% 99% 1.29 1.34 1.41 1.48 1.56 1.75 1.88 2.05 2.33

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Harvey Gold, orders an unusual olive from the island of Santorini, off the Greek coast. Over the years he has noticed considerable variability in the time it takes to receive orders of these olives. He can place a replenishment order at any time. On average the order lead time is 4 months and the standard deviation is 6 weeks (1.5 months). The monthly demand for olives is normally distributed with a mean of 15 jars and a standard deviation of 6. The fixed ordering cost =$500, the cost of a jar to Harvey is $10 a jar, and the annual inventory holding cost is 18% of the product's cost ($10 per jar). Assume 4 weeks each month and 90% service level. Find the reorder point s, amount of safety stock, order-up-to level S, average inventory level, and the annual inventory-related cost. Table of Z-values for normal distribution: Service level Z-value 90% 1.29 91% 92% 93% 94% | 95% 96% 97% 98% 99% 1.65 1.34 1.41 1.48 1.56 1.75 1.88 2.05 2.33
Transcribed Image Text:Harvey Gold, orders an unusual olive from the island of Santorini, off the Greek coast. Over the years he has noticed considerable variability in the time it takes to receive orders of these olives. He can place a replenishment order at any time. On average the order lead time is 4 months and the standard deviation is 6 weeks (1.5 months). The monthly demand for olives is normally distributed with a mean of 15 jars and a standard deviation of 6. The fixed ordering cost =$500, the cost of a jar to Harvey is $10 a jar, and the annual inventory holding cost is 18% of the product's cost ($10 per jar). Assume 4 weeks each month and 90% service level. Find the reorder point s, amount of safety stock, order-up-to level S, average inventory level, and the annual inventory-related cost. Table of Z-values for normal distribution: Service level Z-value 90% 1.29 91% 92% 93% 94% | 95% 96% 97% 98% 99% 1.65 1.34 1.41 1.48 1.56 1.75 1.88 2.05 2.33
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