Leily is ordering bags for a conference. She will sell each bag for $$4\mathrm{.}00$ at the conference. Consider the various expenses, each bag costs her $$2\mathrm{.}00$ to purchase, and she can purchase any quantity. During the conference, based on past sales history, the demand for conference bags is found to be normally distributed with mean $40$ and standard deviation $10.$ If any bags are left at the end of the conference, they can be sold at other conferences for $$1\mathrm{.}00$ each. If Leily sells out, she closes shop and calls it a day.