Rebecca Gonzalez is the leader of the local Cambridge Girl Scouts group visiting the city of Concord, New Hampshire, next weekend for their regional reunion with other Girls Scouts. Each group is baking their best cookies to sell during this event and gather funding for the upcoming years trips.

Once in New Hampshire, the group wont be able to bake additional cookies, and taking them back home by the end of the weekend is not worth it for logistics reasons.

Based on previous years' information, Rebecca knows that the mean demand for such events (for the entire weekend) is normally distributed of 1279 boxes with a standard deviation of 342 boxes. Each box is sold for $6, and baking a box of cookies costs $2.5.

How many boxes should the Girl Scouts bake for the upcoming event to maximize profit?