of a book to purchase at the start of the upcoming selling season.  The book retails for $28.00. The publisher sells the book to Dan at $20.00.  Dan can dispose of all of the unsold copies of the book at 50% off the retail price, at the end of the season.  Dan estimates that demand for this book during the season is Normal with a mean of 1000 and a standard deviation of 250. The publisher offers the following scheme to Dan.  At the end of the season, the publisher will buy back unsold copies at

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Dan’s Independent Book Store is trying to decide on how many copies of a book to purchase at the start of the upcoming selling season.  The book retails for $28.00. The publisher sells the book to Dan at $20.00.  Dan can dispose of all of the unsold copies of the book at 50% off the retail price, at the end of the season.  Dan estimates that demand for this book during the season is Normal with a mean of 1000 and a standard deviation of 250. The publisher offers the following scheme to Dan.  At the end of the season, the publisher will buy back unsold copies at a pre-determined price of $17.00. However, Dan would have to bear the costs of shipping unsold copies back to the publisher at $1.00 per copy. Everything else remains the same.

Question 1:  What is the quantity that Dan should order under this new offer to maximize his expected profit?  

Question 2: What will be the difference in expected profit if Dan takes the publisher’s buyback offer? (Expected profit with the buy-back offer - Expected profit without the buy-back)

Question 3: What will be the difference in mismatch cost if Dan takes the publisher’s buyback offer? (We defined mismatch cost as a part of View 3 on Expected profit).

 

             

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