Question: Problem 1: A building materials supplier obtains its bagged cement from a single source. The annual demand is normally distributed with the average of 3,500

Problem 1: A building materials supplier obtains

Problem 1: A building materials supplier obtains its bagged cement from a single source. The annual demand is normally distributed with the average of 3,500 tonnes and standard dev. of 300 tonnes. The lead-time for a supply is 10 days. Each time an order is placed, an administrative employee has to spend around one hour reviewing the inventory level, preparing the order, tracking the delivery, and updating records. When the delivery is received, it takes roughly one worker hour to unload, inspect, and store the material. The administrative staff member's wage is $35 per hour and the warehouse employees are paid $15 per worker hour. The delivery charges are included in the purchase price. The company purchases cement at $60 per tonne. The annual cost of capital is estimated as 10%. Other annual costs of holding inventory are estimated as 5% of the purchase price. How much should the company order at a time? What will be the Reorder Point if the desired service level during the lead time is 98%

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