What order quantity maximizes expected profit

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A music store is restocked weekly. The weekly demand for a best-selling CD is normal, with mean of 200 and standard deviation of 50. These CDs cost $8.00 per piece, and the store earns $4.50 per CD sold. Excess demand is lost (salvage value is $0); Customers go to a competitor's store rather than wait for resupply.

Suppose that exactly 10% of the start-of-week inventory of this CD disappears from the store without being sold; this is euphemistically known as a 10% shrinkage rate. Now, what order quantity maximizes expected profit?

Reference no: EM132163955

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