Operations Management
Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 14, Problem 2CQ
Summary Introduction

To identify: The statement that is true regarding the standard deviation of demand over five periods.

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Demand in each period is normally distributed with a mean of 100 and standard deviation of 50. Assuming demand across periods are independent, what is the standard deviation of the total demand over 4 periods?
Demand in each period follows the same normal distribution (i.e., there is one demand distribution that represents demand in any single period). Assuming demand is independent acrossperiods, which of the following statements about mean demand over five periods is true? a. It equals the mean of demand over one period.b. It is greater than the mean of demand over one period but less than five times the meanof demand over one period.c. It equals five times the mean of demand over one period.d. It is even more than five times the mean of demand over one period.
Weekly demand for Lego at a Wal-Mart store is normally distributed with a mean of 2,500 boxes and a standard deviation of 500. Demand is assumed to be stationary and the mean demand is used as forecast. Each order costs Wal-Mart $145 and holding cost per box per year is estimated at $1.5. Lead time is 2 weeks and the store manager has decided to review inventory every 4 weeks. (Assume a periodic review policy) a. What is safety stock requirement for a service level of 90%? b. What is the order-up-to level? c. What is the total annual variable cost?
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