Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Question
Chapter 4.5, Problem 11P
Summary Introduction
To determine:
Graphical representation of optimal quantity, average order and lead time
Introduction:
Economic order quantity in the optimal inventory kept by any firm which is ideal and do not incur any additional holding cost and order cost.
Lead time is the time between when order is placed and its production is completed.
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Suppose the following item is being managed using a fixed-order quantity model with safety stock.
Annual Demand = 100,000 units
Order quantity = 30,000 units
Safety stock = 4000 units
What are the average inventory level and inventory turnover for this item?
You are running the supply chain for a grocery store operating across Upstate
Souun Carolina. You operate a central warehouse and have multiple stores. For each of the
following situations determine if it would be best to operate inventory for the product that is
pooled at your central warehouse or determined individually by each retail store. Provide at
least 1 sentence discussing your choice.
(a) The demand for boxes of Nutty Bars at each store during a week is i.i.d. with mean
u = 1000 and standard deviation o =
Nutty Bars are high compared to holding costs for Nutty Bars.
10. Transshipment costs between the stores for
(b) The demand for Fudge Rounds at each store during a week is i.i.d. with mean u = 200
75. Transhipment costs between the stores for Fudge
and standard deviation o
Rounds are relatively small compared to holding costs.
Hayes electronics assumed with certainty that the ordering cost is
$450 per order and the inventory carrying cost is $170 per unit per year. However, the inventory model parameters are frequently only estimates that are subject to some degree of uncertainty. Consider four cases of variation in the model parameters as follows: (a) both ordering cost and carrying cost are 10% less that originally estimated, (b) both ordering cost and carrying cost are 10% higher than originally estimated, (c) ordering cost is 10% higher and carrying cost is 10% lower than originally estimated, and (d) ordering cost is 10% lower and carrying cost is 10% higher than originally estimated. Determine the optimal order quantity and total inventory cost for each of the four cases. Prepare a table with values from all four cases and compare the sensitivity of the model solution to changes in parameter values.
Chapter 4 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 4.4 - Prob. 1PCh. 4.4 - Prob. 2PCh. 4.4 - Prob. 3PCh. 4.4 - Prob. 4PCh. 4.4 - Prob. 5PCh. 4.4 - Prob. 6PCh. 4.4 - Prob. 7PCh. 4.4 - Prob. 8PCh. 4.4 - Prob. 9PCh. 4.5 - Prob. 10P
Ch. 4.5 - Prob. 11PCh. 4.5 - Prob. 12PCh. 4.5 - Prob. 13PCh. 4.5 - Prob. 14PCh. 4.5 - Prob. 15PCh. 4.5 - Prob. 16PCh. 4.6 - Prob. 17PCh. 4.6 - Prob. 18PCh. 4.6 - Prob. 19PCh. 4.6 - Prob. 20PCh. 4.7 - Prob. 21PCh. 4.7 - Prob. 22PCh. 4.7 - Prob. 23PCh. 4.7 - Prob. 24PCh. 4.7 - Prob. 25PCh. 4.8 - Prob. 26PCh. 4.8 - Prob. 27PCh. 4.8 - Prob. 28PCh. 4.9 - Prob. 29PCh. 4.9 - Prob. 30PCh. 4 - Prob. 31APCh. 4 - Prob. 32APCh. 4 - Prob. 33APCh. 4 - Prob. 34APCh. 4 - Prob. 35APCh. 4 - Prob. 36APCh. 4 - Prob. 37APCh. 4 - Prob. 38APCh. 4 - Prob. 39APCh. 4 - Prob. 40APCh. 4 - Prob. 41APCh. 4 - Prob. 42APCh. 4 - Prob. 43APCh. 4 - Prob. 44APCh. 4 - Prob. 45AP
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