A service station uses 2500 oil filters during the course of a year, and this usage is constant throughout the year. These oil filters are purchased from a supplier 100 miles away for $15 each, and the lead time is 2 days. The holding cost per oil filter 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.  A) the service manager recognizes that although he knows the lead time is 2 days, the average  daily demand usually varies. He kept records and has determined that the average daily demand is normally distributed with a standard deviation  of 2.5 units. If he would like to maintain a service level of 90%, what should his  re-order point be?

Practical Management Science
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ISBN:9781337406659
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1. A service station uses 2500 oil filters during the course of a year, and this usage is constant throughout the year. These oil filters are purchased from a supplier 100 miles away for $15 each, and the lead time is 2 days. The holding cost per oil filter 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. 

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

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