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The manager of a construction firm has determined from historical records that demand for cement averages 5 tons per week with a standard deviation of 3 tons. The supply lead time is 4 weeks. The cost of a ton of cement is $100 and inventory carrying cost is estimated at an annual rate of 30%. The cost of placing an order is $96.
[Assume 50 weeks in a year.]
Compute the following:
a. Economic order quantity b. Number of orders per year c. Cycle length (i.e., number of weeks between consecutive orders) d. Average inventory level e. Total annual cost of ordering + inventory carrying f. Compute the reorder point and the corresponding safety stock for each of the following service levels:
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