A restaurant orders supplies every 3 days. The lead time for deliveries is 4 days. Demand for butter averages 12 pounds per day with a standard deviation of 1.5 pounds. The holding cost for butter is $0.75 per pound per day. The restaurant wants to achieve an in-stock probability rate of 90% for butter. On average, how many pounds of butter will the restaurant have on order?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 47P
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A restaurant orders supplies every 3 days. The lead time for deliveries is 4 days. Demand for butter averages 12 pounds per day with a standard deviation of 1.5 pounds. The holding cost for butter is $0.75 per pound per day. The restaurant wants to achieve an in-stock probability rate of 90% for butter.

On average, how many pounds of butter will the restaurant have on order?

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