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 45AP
Summary Introduction
Interpretation: Optimal number of bagels to be baked each day is to be calculated.
Concept Introduction: Poisson distribution is the probability distribution of discrete random variable series in which frequency of outcomes is calculated in a given period of time.
Standard deviation is the numerical expression of showing the error from the average.
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Kris Lee, the owner and manager of the Quality Hardware Store, is reassessing his inventory policy for hammers. He sells an average of 50 hammers per month, so he has been placing an order to purchase 50 hammers from a wholesaler at a cost of $20 per hammer at the end of each month. However, Kris does all the ordering for the store himself and finds that this is taking a great deal of his time. He estimates that the value of his time spent in placing each order for hammers is $75.
What would the unit holding cost for hammers need to be for Kris' current inventory policy to be optimal according to the basic EOQ model? What is this unit holding cost as a percentage of the unit acquisition cost?
What is the optimal order quantity if the unit holding cost actually is 20 percent of the unit acquisition cost? What is the corresponding value of TVC? What is TVC for the current inventory policy?
If the wholesaler typically delivers an order of hammers in 5 working days (out of 25 working…
d. The weekly average inventory listed above cannot change much since the grocery store is limited in storage capacity, and can therefore assumed to remain constant over time. The store has calculated that having less than 3 weeks of supply will create problems keeping stock available for clients. What annual cost of goods sold will bring about this condition (3 weeks of supply)?e. The grocery store is increasingly popular and management has calculated that, on average, the cost of goods sold increase by $5 million per year, reflecting better sales. How many years will it take for the grocery store to require expansion?
Answer the given question with a proper explanation and step-by-step solution.
An E-commerce firm has four regional fulfillment centers (warehouses). Weekly demand for an item (Product_A) at each warehouse is random and is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000 units per week. Product_A’s unit cost is $10. The inventory holding cost of the company is 25% per year. Assume 50 weeks per year. Each replenishment order from the supplier of Product_A costs $1,000, which includes the costs associated with placing the order, transportation, receiving, inspection, and put-away labor expenses. The replenishment lead time from the supplier is 1 week. The company’s service level goal is 95% (probability of having sufficient inventory to meet demand).
On average, how long does a unit of inventory spend in the warehouse before being sold? Hint: Think Little's Law
2.5 weeks
6.6 weeks
5.3 weeks
1.3 weeks
Chapter 5 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 4PCh. 5.3 - Prob. 7PCh. 5.3 - Prob. 9PCh. 5.3 - Prob. 12PCh. 5.5 - Prob. 16PCh. 5.5 - Prob. 18PCh. 5.6 - Prob. 21PCh. 5.7 - Prob. 24P
Ch. 5.7 - Prob. 25PCh. 5.7 - Prob. 26PCh. 5.7 - Prob. 27PCh. 5 - Prob. 28APCh. 5 - Prob. 31APCh. 5 - Prob. 32APCh. 5 - Prob. 33APCh. 5 - Prob. 37APCh. 5 - Prob. 38APCh. 5 - Prob. 40APCh. 5 - Prob. 41APCh. 5 - Prob. 43APCh. 5 - Prob. 44APCh. 5 - Prob. 45APCh. 5 - Prob. 46APCh. 5 - Prob. 47APCh. 5 - Prob. 48APCh. 5 - Prob. 49APCh. 5 - Prob. 50APCh. 5 - Prob. 51AP
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