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Let X denote the number of bags that are sold in a day. Suppose X approximately...

Let X denote the number of bags that are sold in a day. Suppose X approximately follows a normal distribution with mean 2 and variance 4. Each bag is priced at $110. The shop can get each bag from the supplier at $20 and the ordering cost, regardless of quantity, is $80. The lead time for each order is 7 calendar days. The annual holding cost of each bag is $10. Assuming 365 days in a year, determine the optimal order quantity and reorder point. Assume stock-out cost is $90 (i.e., loss sales).

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