One item a computer store sells is supplied by a vendor who handles only that item. Demand for that item recently changed, and the store manager must determine when to replenish it. The manager wants a probability of at least 96 percent of not having a stockout during lead time. The manager expects demand to average a dozen units a day and have a standard deviation of two units a day. Lead time is variable, averaging four days with a standard deviation of one day. Assume normality and that seasonality is not a factor. a. When should the manager reorder to achieve the desired probability? b. Why might the model not be appropriate if seasonality were present?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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One item a computer store sells is supplied by a vendor who handles only that item. Demand for
that item recently changed, and the store manager must determine when to replenish it. The manager
wants a probability of at least 96 percent of not having a stockout during lead time. The manager
expects demand to average a dozen units a day and have a standard deviation of two units a day.
Lead time is variable, averaging four days with a standard deviation of one day. Assume normality
and that seasonality is not a factor.
a. When should the manager reorder to achieve the desired probability?
b. Why might the model not be appropriate if seasonality were present?

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