Demand for walnut fudge ice cream at the Sweet Cream Dairy can be approximated by a normaldistribution with a mean of 21 gallons per week and a standard deviation of 3.5 gallons per week.The new manager desires a service level of 90 percent. Lead time is two days, and the dairy isopen seven days a week. (Hint: Work in terms of weeks.)a. If an ROP model is used, what ROP would be consistent with the desired service level? Howmany days of supply are on hand at the ROP, assuming average demand?b. If a fixed-interval model is used instead of an ROP model, what order size would be needed forthe 90 percent service level with an order interval of 10 days and a supply of 8 gallons on handat the order time? What is the probability of experiencing a stockout before this order arrives?c. Suppose the manager is using the ROP model described in part a. One day after placing anorder with the supplier, the manager receives a call from the supplier that the order will bedelayed because of problems at the supplier’s plant. The supplier promises to have the orderthere in two days. After hanging up, the manager checks the supply of walnut fudge ice creamand finds that 2 gallons have been sold since the order was placed. Assuming the supplier’spromise is valid, what is the probability that the dairy will run out of this flavor before theshipment arrives?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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 21 gallons per week and a standard deviation of 3.5 gallons per week.
The new manager desires a service level of 90 percent. Lead time is two days, and the dairy is
open seven days a week. (Hint: Work in terms of weeks.)
a. If an ROP model is used, what ROP would be consistent with the desired service level? How
many days of supply are on hand at the ROP, assuming average demand?
b. If a fixed-interval model is used instead of an ROP model, what order size would be needed for
the 90 percent service level with an order interval of 10 days and a supply of 8 gallons on hand
at the order time? What is the probability of experiencing a stockout before this order arrives?
c. Suppose the manager is using the ROP model described in part a. One day after placing an
order with the supplier, the manager receives a call from the supplier that the order will be
delayed because of problems at the supplier’s plant. The supplier promises to have the order
there in two days. After hanging up, the manager checks the supply of walnut fudge ice cream
and finds that 2 gallons have been sold since the order was placed. Assuming the supplier’s
promise is valid, what is the probability that the dairy will run out of this flavor before the
shipment arrives?

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