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A mail-order firm has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation

A mail-order firm 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 product costs the company $10. Each order incurs an ordering cost of $1000 (primarily from fixed transportation costs), and a lead time of 1 week. The company wants the probability of stocking out in a flow to be no more than 5%. Assume 50 working weeks in a year. What is the annual inventory management cost at a single warehouse?

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