Sarah wants to create a special holiday-themed soap. These soaps have an overall production cost of 10$ and will be sold for 15$ each. She forecasts a seasonal demand of 15000 units; however, it is unlikely that demand will be equal to the forecast. Any soap that is left over the season will have to be sold at a 50% discount. She therefore decides to use the A/F method to build a demand model based on historic forecast/demand pairs from other holidays (see soap.xls). Given this data set, how many soaps should be produced in order to maximize expected profits (i.e., calculate the optimal order quantity)