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4. (10 marks) The Carpet Discount Store sells Super Shag carpet. The average daily customer demand for the carpet stocked by the store is normally

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4. (10 marks) The Carpet Discount Store sells Super Shag carpet. The average daily customer demand for the carpet stocked by the store is normally distributed, with a mean daily demand of 30 metres and a standard deviation of 5 metres of carpet per day. The lead time to receive a new order of carpet is 10 days. The store wants a reorder point and safety stock for a service level of 95%. a. What is the reorder point b. How much is the safety stock. c. Solve a and b again with a service level of 99% d. How much does the increased service level cost in terms of total inventory costs during reordering

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