Christa, a merchant wants to stock Christmas trees. She can place only one order per season, so she pays $30 for each tree that she buys and sells them for $80 each. She will incur an additional cost of $6 each for unsold trees that must be hauled to the landfill. If the demand for Christmas trees is normally distributed with a mean of 365 trees and a standard deviation of 46 trees, how many trees should she order?
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