The annual demand for sugar at a local soft drink company is normally distributed with a mean of 800 tons and a standard deviation of 25 tons. The sugar sells for OMR 500 each ton, and the annual inventory holding cost rate is 10%. Ordering costs are OMR5 per order. The delivery time for sugar is 5 working days. Assume that there are 250 working days in a year. 1. Determine the optimal order quantity. 2. What size of safety stock should the company keep at a service-level of 90%? 3. Suppose they keep 8 extra tons in inventory as a safety stock. What is the service-level obtained?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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The annual demand for sugar at a local soft drink company is normally distributed with a mean of 800 tons and a standard deviation of 25 tons. The sugar sells for OMR 500 each ton, and the annual inventory holding cost rate is 10%. Ordering costs are OMR5 per order. The delivery time for sugar is 5 working days. Assume that there are 250 working days in a year. 1. Determine the optimal order quantity. 2. What size of safety stock should the company keep at a service-level of 90%? 3. Suppose they keep 8 extra tons in inventory as a safety stock. What is the service-level obtained? 4. Evaluate the fill rate Beta for a safety stock of 5 tons. 5. What is the expected number of units short per year? 6. Compare the level of safety stock for each policy =Beta=0.95.
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