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. Assuming that each warehouse operates independently, what should be the Target Inventory Position of the optimal ordering policy? How much safety stock does each warehouse have? What is the average inventory held at each warehouse?

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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.

  • Assuming that each warehouse operates independently, what should be the Target Inventory Position of the optimal ordering policy?
  • How much safety stock does each warehouse have?
  • What is the average inventory held at each warehouse?

 

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