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) Evaluate the fill rate B for a safety stock of 5 tons. 2) What is the expected number of units short per year? 3) Compare the level of safety stock for each policy a=B=0.95.

Purchasing and Supply Chain Management
6th Edition
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Chapter16: Lean Supply Chain Management
Section: Chapter Questions
Problem 10DQ: The chapter presented various approaches for the control of inventory investment. Discuss three...
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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) Evaluate the fill rate B for a safety stock of 5 tons. 2) What is the expected number of units short per year? 3) Compare the level of safety stock for each policy a=B=0.95.
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