Fashionables is a franchisee of The UnLimited, the well-known rataller of tashionable clothing. Prior to the winter season, The UnLimited offers Fashionabils the choice of five different colora of a particular sweater design. The sweaters are knit overseas by hand, and because of the lead times involved, Fashionables wilt need to order its assortment in advance of the selling season. Aa per the contracting terms offered by The Untimited, Fashionables will also not be able to cancel, modity or roorder tweaters during the selling season. Demand for each color during the season is nortally distributed with a mean of 425 and a standard deviaton of 150 . Further, you may assume that the demand for each sweater is independent of the demand for any other color The UnLimited offers the sweaters lo Fashionables at the wholesale price of $43 per sweater, and Fashionables plans to sell each sweater at the retal price of $74 per unit. The UnLimited does not accept any returns of unsold inventory However, Fashionables can sell all of the unsold sweaters at the end of the season at the fre-sale price of $24 each. It a part of the question specifies whether to use Tabie 13.4, or to use Excel, then credit for a correct antwer will depend on using the specifed method. a. How many units of each sweater-bype should Fashionables order to maximize its expected profit? Use Table 13.4 and round to neatest integer If Fashionables wishes to ensure a 97.5% in-stock probability, what should its b. Order quantity be for each type of bweater? Use Table 13.4 and round to neareat integer. c. Say Fashionables orders 700 of each sweater. What is Fashionables' expected d. Say Fashionables orders 700 of each swe ater. What is the stockout probabity for each sweater? Use Excel. (Round your answer to 4 decinal placesi.)