The manager of AutoPark in Cary realizes that the store often faces stockouts for brake pads. You suspect there might be a problem with the replenishment policy, thus you decide to gather more data. The demand for brake pads turns out to be normally distributed. The mean demand for one week is $200$ packages, and the standard deviation is $24$ packages. AutoPark$$s cost for Brake pads is $$11$ per package. The cost of carrying Brake pads in inventory at the market is $$2\mathrm{.}15$ per package per week. In addition, the market incurs a cost of $$55$ for placing an order, and it takes $2$ weeks to receive the delivery. Consider $52$ weeks in a year, $30$ days in a month.