Demand for walnut fudge ice cream at the Sweet Cream Dairy can be approximated by a normal distribution with a mean of 35 gallons per week and a standard deviation of 8:48 gallons per week. The new manager desires a service level of 94 percent. The Sweet Cream Dairy is open 7 days a week and 52 weeks a year. 1. If the ordering cost S = 200 per order and it is optimal for the Sweet Cream Dairy to order 400 gallons each time, then what is the per unit inventory holding cost H? 2. If lead time is 4 days, what reorder point should be used? If lead time follows a normal distribution with mean 4:6 days and standard deviation L days and the reorder point should be set to 36:5 gallons, 3. then what is the value of L?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Demand for walnut fudge ice cream at the Sweet
Cream Dairy can be approximated by a normal
distribution with a mean of 35 gallons per week and
a standard deviation of 8:48 gallons per week. The
new manager desires a service level of 94 percent.
The Sweet Cream Dairy is open 7 days a week and
52 weeks a year.
1.
If the ordering cost S = 200 per order
%3D
and it is optimal for the Sweet Cream Dairy to order
400 gallons each time, then what is the per unit
inventory holding cost H?
2.
If lead time is 4 days, what reorder point
should be used?
3.
If lead time follows a normal distribution
with mean 4:6 days and standard deviation L days
and the reorder point should be set to 36:5 gallons,
then what is the value of L?
Transcribed Image Text:Demand for walnut fudge ice cream at the Sweet Cream Dairy can be approximated by a normal distribution with a mean of 35 gallons per week and a standard deviation of 8:48 gallons per week. The new manager desires a service level of 94 percent. The Sweet Cream Dairy is open 7 days a week and 52 weeks a year. 1. If the ordering cost S = 200 per order %3D and it is optimal for the Sweet Cream Dairy to order 400 gallons each time, then what is the per unit inventory holding cost H? 2. If lead time is 4 days, what reorder point should be used? 3. If lead time follows a normal distribution with mean 4:6 days and standard deviation L days and the reorder point should be set to 36:5 gallons, then what is the value of L?
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