Operations Management
Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 13, Problem 13CQ
Summary Introduction

To identify: The most likely result.

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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?
A warehouse manager at Mary Beth Marrs Corp. needs to simulate the demand placed on a product that does not fit standard models. The concept being measured is "demand during lead time," where both lead time and daily demand are variable. The historical record for this product, along with the cumulative distribution, appear in the table. Demand During Lead Time Cumulaive Probability Probability 120 0.01 0.01 140 0.12 0.13 160 0.35 0.48 180 0.20 0.68 200 0.04 0.72 220 0.08 0.80 240 0.20 1.00 The following random numbers have been generated: 9, 78, 40, 41, and 99. (Note: Assume the random number interval begins at 01 and ends at 00.) Based on the given probabilty distribution, for the given random number the demand during the lead time is: Random Number 9 78 40 41 99 Demand The average demand during the lead time is (enter your response as an integer). The total demand during the lead time based on the five simulations is (enter your response as an integer).
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?
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