Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 5, Problem 43AP
Summary Introduction

Interpretation:Number of parts to be acquired in advance of 400-day period is to be calculated.

Concept Introduction:

Central Limit Theorem is defined as when a very large sample is taken for evaluation of random variables, it tends to follow normal distribution pattern. Even if part of the sample size does not follow.

It states that sampling distribution of any statistic will be normal, when the size of the sample is large enough.

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RoyalTech's South Jersey warehouse faces a daily demand that is normally distributed, with mean 1,000 and standard deviation 100 pallets. RoyalTech's supplier has a lead-time that is normally distributed, with mean 5 days and standard deviation 1 day. RoyalTech reviews its inventory periodically, that is, every 7 days. (Hint: think about the inventory model appropriate here) RoyalTech's warehouse runs 365 days a year, and the cost of carrying inventory is 18.25% per year. The supplier charges RoyalTech $2,000 per pallet, and $5,000 per delivery. RoyalTech plans to maintain 98% SL. NORMSINV(0.98) = 2.054. L(2.054) = 0.0073. Answer the following questions. 1. How much safety stock should Royal Tech carry? [Select] v pallets. 2. What is RoyalTech's average inventory? [ Select ] pallets. 3. What is the total relevant cost incurred by RoyalTech per day? $ [ Select] 4. What is the Fill Rate that RoyalTech is able to achieve for this service level? [ Select ]
A large manufacturer purchases a part from a supplier under a continuous review system. The average demand is 400 units a day with a standard deviation of 50 units a day. It costs $55 to process each order. The holding cost for a part is $0.2 per month and the company has a policy of maintaining a 96% service level. The company operates 315 days per year. The time from when an order is placed to when it arrives at the company from its vendor is 5 days. a- What is the reorder point? b- What order quantity would be appropriate c- What is the total annual cost for this item?
An electronics retailer wants to develop an inventory policy to achieve 99% chance of not getting stockouts for a chip. The daily demand for the chip is estimated to be Normal with mean 200 and standard deviation of 20. They count the chip inventory every 2 weeks to place an order, and it takes 11 days for the ordered chips to be delivered. The retailer operates 7 days a week, 365 days a year. They are going to implement an order-up-to model. A) What base stock level should they choose?  B) What is the number of chips they would have on order (on average)?  C) When they checked their inventory of chips to place a new order, they found that they ran out of stock completely. In addition, they have 10 chips on way to be delivered, while there are five customers who paid for 20 chips in total and are waiting to receive their chips. How many chips should the retailer order?
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