Ross White’s machine shop uses 2500 brackets during the course of a year, and this usage is relatively constant throughout the year. These brackets are purchased from a supplier 100 miles away for $15 each, and the lead time is 2 days. The holding cost per bracket per year is $1.50 (or 10% of the unit cost) and the ordering cost is $18.75. There are 250 working days per year. Ross White recognizes that although he knows the lead time is 2 days, the average daily demand usually varies. Ross has kept careful records and has determined that the average daily demand is normally distributed with a standard deviation of 2.5 units. If Ross would like to maintain a service level of 90 %, what should his re-order point be?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Ross White’s machine shop uses 2500 brackets during the course of a year, and this usage is relatively constant throughout the year. These brackets are purchased from a supplier 100 miles away for $15 each, and the lead time is 2 days. The holding cost per bracket per year is $1.50 (or 10% of the unit cost) and the ordering cost is $18.75. There are 250 working days per year.

Ross White recognizes that although he knows the lead time is 2 days, the average daily demand usually varies. Ross has kept careful records and has determined that the average daily demand is normally distributed with a standard deviation of 2.5 units. If Ross would like to maintain a service level of 90 %, what should his re-order point be?

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