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The Supermarket Store is about to place an order for Halloween candy. One best-selling brand of candy can be purchased at $ 2.50 per box

  1. The Supermarket Store is about to place an order for Halloween candy. One best-selling brand of candy can be purchased at $ 2.50 per box before and up to Halloween. After Halloween, all the remaining candy can be marked down and sold for $ 1.00 per box. Assume that the loss in goodwill “cost” stemming from customers whose demand is not satisfied is $ 0.35. The store is considering a price per box (p) of $ 4, $ 5, $ 6, and $ 7. 
  2. Recognizing that demand is price dependent, through market research the store determines that demand is normally distributed such that if:

  3. (a) p=$ 4, mean=μ=50, and standard deviation = σ =20; 

  4. (b) p = $ 5, mean=μ=46, and standard deviation = σ =20;

  5. (c) p = $ 6, mean=μ=42, and standard deviation = σ =20; and 

  6. (d) p = $ 7, mean=μ=38, and standard deviation = σ =20.

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