Brenda Bennett 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 year$$s trips.

Once in New Hampshire, the group won$$t 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, Brenda knows that the mean demand for such events $($for the entire weekend$)$ is normally distributed of $1241$ boxes with a standard deviation of $247$ boxes. Each box is sold for $$6,$ and baking a box of cookies costs $$2\mathrm{.}5.$