Question: A bookstore considers placing a single order for a new history book. The publisher is selling the book for $70, and the bookstore plans to

A bookstore considers placing a single order for a new history book. The publisher is selling the book for $70, and the bookstore plans to sell the book 13% higher than its wholesale price. The bookstore estimates that demand over the next year has a uniform distribution with mean U(10,45). At the end of the year, the bookstore will sell unsold books to a discounter and will only get 42% of the wholesale price for each copy. What is the probability that the bookstore can satisfy demand for the book (i.e., what is optimal service level)?

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