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Sport Obermeyer (SO) is a manufacturer of ski apparel. A ski jacket is sourced at a cost of $80 and sold for $125. One order

Sport Obermeyer (SO) is a manufacturer of ski apparel. A ski jacket is sourced at a cost of $80 and sold for $125. One order is placed at the beginning of the season. Currently, SO disposes of any unsold jackets at the end of the season to outlet stores at $70. It costs $10 to hold a jacket in inventory for the entire season and then ship it to an outlet store. 

Demand for ski jackets has been forecast to be normally distributed, with a mean of 4,000 and a standard deviation of 1,750. How many jackets should SO order for the season, assuming a single order?

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