What is the annual inventory cost (holding + ordering) for Shoe-n-co? On average, how long does a unit of product spend in the warehouse before being sold? Now assume that the firm has centralized all inventories in a single warehouse and that the target service level is still 95%. Optimally, how much average inventory should the company now hold?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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An online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%.  Assume 50 working weeks per year.

              Suppose that Shoe-n-co follows a periodic review policy with a review period of 2 weeks. Recall that the firm has four regional warehouses with demand at each warehouse that is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Further, annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Replenishment lead time is 1 week. The company wants a service level of 95%. Assume 50 working weeks per year.

  • What is the annual inventory cost (holding + ordering) for Shoe-n-co?
  • On average, how long does a unit of product spend in the warehouse before being sold?
  • Now assume that the firm has centralized all inventories in a single warehouse and that the target service level is still 95%. Optimally, how much average inventory should the company now hold?
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