Question: Britney is inventory manager at a large winter apparel store. Its September and Britney is planning to buy newly designed winter jackets to be sold

Britney is inventory manager at a large winter apparel store. Its September and Britney is planning to buy newly designed winter jackets to be sold during winter. The demand for jackets is normally distributed with a mean of 500 and a standard deviation of 300. Britney purchases jackets for $100 each unit and sells each for $200. Leftover jacket inventory at the end of the winter are salvaged for $70 per jacket. What is the optimal number of jackets Britney should purchase?

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