Here$$s the scenario: You are managing a bake sale for a club at your school. It$$s being held each weekend in the fall that the football team has a home game. This year, there will be five home games. The club sells cookies in packages of two dozen. The selling price per package is $$9\mathrm{.}25.$ The packaging material costs $$\mathrm{.}18(18$ cents$)$ per package. You pay the regular kitchen staff a direct labor cost for mixing and baking at $$15\mathrm{.}50$ per hour. Baking utensils and supplies for the entire season will cost $$610($excluding the direct costs of cookies$).$ Before each game, the cookies are prepared in a school kitchen for a fixed rental fee of $$77$ per session and clean$-$up labor is paid a fixed total of $$52$ per session. You estimate that $500$ packages of cookies will be baked for each sale and that $96\%$ of them will be sold. Alumni volunteers, who receive no compensation, sell half of the packages and students, who receive a commission of $$\mathrm{.}20(20$ cents$)$ per package, sell the other half. You plan to run an advertisement in the school newspaper before all five games and each advertisement costs $$176.$