What should its order quantity be for each type of sweater

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The Fashionables purchases sweaters from The Limited. It sells five different colors of a particular design and is unable to cancel, modify, or reorder during the selling season. Demand for each color during the season is normally distributed with a mean of 500 and a standard deviation of 200. The Limited offers sweaters to Fashionables at the wholesale price of $40 per sweater and Fashionables plans to sell each sweater at the retail price of $70 per sweater. The Limited does not accept any returns of unsold inventory. However, Fashionables can sell all the unsold sweaters at the end of the season at the fire-sale price of $20 each.

How many units of each sweater type should Fashionables order to maximize its expected profit? If Fashionables wishes to ensure a 97.5 percent instock probability, what should its order quantity be for each type of sweater?

Reference no: EM132320730

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