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A retailer needs to order the winter jackets for next season. The retailer's purchase price of...

A retailer needs to order the winter jackets for next season. The retailer's purchase price of a jacket is $100, and the retailer will sell at a retail price of $250. After the season, the retailer donates half of whatever is left to a thrift store and sells the other half at a discount price of $50. Demand for these jackers is estimated to be normally distributed with an average of 1,000 and a standard deviation of 100. How many jackets should the retailer order? (please show your work)

a. 1,044

b. Less than 1,000

c. 1,000

d. 1,067

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