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.
Chapter2: Introduction To Spreadsheet Modeling
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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?
Transcribed Image Text: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?
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