Hi could you help solve 12.44. Thanks The image contains two sections of text, each accompanied by a table that outlines demand during lead time and associated probabilities.---**12.44: Tobacco Shipment Problem**Tobacco is shipped from North Carolina to a cigarette manufacturer in Cambodia once a year. The reorder point, without safety stock, is 200 kilos. The carrying cost is $15 per kilo per year, and the cost of a stockout is $70 per kilo per year. Given the following demand probabilities during the lead time, determine how much safety stock should be carried.**Table:**- **Demand During Lead Time (Kilos) | Probability** - 0 | 0.2 - 100 | 0.2 - 200 | 0.2 - 300 | 0.2 - 400 | 0.2---**12.45: Mr. Beautiful's Weight Training Sets**Mr. Beautiful, an organization that sells weight training sets, has an ordering cost of $40 for the BB-1 set (BB-1 stands for Body Beautiful Number 1). The carrying cost for BB-1 is $5 per set per year. To meet demand, Mr. Beautiful orders large quantities of BB-1 7 times a year. The stockout cost for BB-1 is estimated to be $50 per set. Over the past several years, Mr. Beautiful has observed the following demand data.**Table:**- **Demand During Lead Time (Kilos) | Probability** - 0 | 0.1 - 100 | 0.1 - 200 | 0.2 - 300 | 0.4 - 400 | 0.2---The tables in each section display the potential demand levels during lead time alongside their respective probabilities. This data is critical for calculating and deciding on the appropriate amount of safety stock to minimize potential stockouts while managing costs effectively.

This question is related to the topic of Inventory management and this topic falls under the operations management syllabus. The question has been asked to determine the safety stock that they should carry and that should be added to the reorder quantity. The detailed answers are given in the next step. Given that order per year=1 The carrying costs per year per kilo=15 The costs of stockout per year per kilo=70 Here, reorder point without safety stock =200 If safety stock is 0, then, additional holding costs would be=15*0=0 Stockout costs would be=(100*0.4*70*1)+(200*0.2*70*1) Stockout costs would be=5600 If safety stock is 0, Total costs=additional holding costs+stockout costs If safety stock is 0, Total costs=0+5600 If safety stock is 0, Total costs=5600 If safety stock is 100, then, additional holding costs would be=15*100 Additional holding costs would be=1500 Stockout costs would be=(100*0.2*70*1) Stockout costs would be=1400 If safety stock is 100, Total costs=1500+1400 If safety stock is 100, Total costs=2900 If safety stock is 200, then, additional holding costs would be=15*200 Additional holding costs would be=3000 Stockout costs would be=(0*0.2*70*1) Stockout costs would be=0 Hence, If safety stock is 200, Total costs=3000+0=3000 Here, I would choose the lowest value for the costs, here this value is 2900, hence, the amount of safety stock that should be carried =100

Business

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per year, and the cost of a stockout is $70 per kilo per year. Given without safety stock, is 200 kilos. The carrying cost is $15 per kilo rette manufacturer in Cambodia once a year. The reorder point, 12.44) Tobacco is shipped from North Carolina to a ciga- rette manufacturer in Cambodia once a year. The reorder noins per year, and the cost of a stockout is $70 the following demand probabilities during the lead time, how much safety stock should be carried? Px per kilo per year. Given DEMAND DURING LEAD TIME (KILOS) PROBABILITY 0.1 100 0.1 200 0.2 300 0.4 400 0.2

per year, and the cost of a stockout is $70 per kilo per year. Given without safety stock, is 200 kilos. The carrying cost is $15 per kilo rette manufacturer in Cambodia once a year. The reorder point, 12.44) Tobacco is shipped from North Carolina to a ciga- rette manufacturer in Cambodia once a year. The reorder noins per year, and the cost of a stockout is $70 the following demand probabilities during the lead time, how much safety stock should be carried? Px per kilo per year. Given DEMAND DURING LEAD TIME (KILOS) PROBABILITY 0.1 100 0.1 200 0.2 300 0.4 400 0.2

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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