Sam's Bookstore, with many locations across the United States, places orders for all the latest books and then distributes them to individual bookstores. Sam's needs a model to help it order the appropriate number of any title. For example, Sam's plans to order a popular new hardback novel, which it will sell for $30. It can purchase any number of this book from the publisher, but due to quantity discounts, the unit cost for all books it orders depends on the number ordered. Specifically, if the number ordered is less than 1000, the unit cost is $24. After each 1000, the unit costs drops: to $23 for at least 1000 copies; to $22.25 for at least 2000; to $21.75 for at least 3000; and to $21.30 (the lowest possible unit cost) for at least 4000. For example, if Sam's orders 2500 books, its total cost is $22.25(2500) = $55,625. Sam's is very uncertain about the demand for this book - it estimates that demand could be anywhere from 500 to 4500. Also, as with most hardback novels, this one will eventually come out in paperback. Therefore, if Sam's has any hardbacks left when the paperback comes out, it will put them on sale for $10, at which price it believes all leftovers will be sold. b. Create a spreadsheet model to analyze this situation. i. Hints: The cells Units sold at regular price, Units sold at leftover price, and Cost require advanced Excel functions (e.g., IF, VLOOKUP) c. Create a one-way data table (Data Tab -> What-If Analysis -> Data Table) to see how profit varies as demand changes given that Sams ordered 2500 hardback novels. d. Assume that every outcome in the data table is equally likely, what is the average expected profit if Sams orders 2500 hardback novels