Item SKU A3378 has a demand that is normally distributed during the lead time, with a mean of 360 units and standard deviation 9999 of 12. If Hinsdale cannot have stockouts in more than 10% of the time in any order, how much safety stock should be maintained and at what reorder point? 1. SKU F5402: daily demand is normally distributed with a mean of 16, standard deviation of 4, lead time is 4 days, and must operate at a 95% service level. 2. SKU B7319: daily demand is constant at 24 units per day, lead time is normally with a mean of 6 days and standard deviation of 2 days, and must operate at a 95% service level. 3. SKU F9004: daily demand is normally distributed with a mean of 21 units and a standard deviation of 3 days. The lead time is also normally distributed with a mean of 4 days, standard deviation of 2 days, and a service level of 90% is required.
Item SKU A3378 has a demand that is normally distributed during the lead time, with a mean of 360 units and standard deviation 9999 of 12. If Hinsdale cannot have stockouts in more than 10% of the time in any order, how much safety stock should be maintained and at what reorder point? 1. SKU F5402: daily demand is normally distributed with a mean of 16, standard deviation of 4, lead time is 4 days, and must operate at a 95% service level. 2. SKU B7319: daily demand is constant at 24 units per day, lead time is normally with a mean of 6 days and standard deviation of 2 days, and must operate at a 95% service level. 3. SKU F9004: daily demand is normally distributed with a mean of 21 units and a standard deviation of 3 days. The lead time is also normally distributed with a mean of 4 days, standard deviation of 2 days, and a service level of 90% is required.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section7.3: Pricing Models
Problem 2P
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Item SKU A3378 has a demand that is normally distributed during the lead time, with a
mean of 360 units and standard deviation 9999 of 12. If Hinsdale cannot have stockouts
in more than 10% of the time in any order, how much safety stock should be maintained
and at what reorder point?
1. SKU F5402: daily demand is normally distributed with a mean of 16, standard
deviation of 4, lead time is 4
days, and must operate at a 95% service level.
2. SKU B7319: daily demand is constant at 24 units per day, lead time is normally with
a mean of 6 days and standard deviation of 2 days, and must operate at a 95% service
level.
3. SKU F9004: daily demand is normally distributed with a mean of 21 units and a
standard deviation of 3 days.
The lead time is also normally distributed with a mean of 4 days, standard deviation of 2
days, and a service
level of 90% is required.
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