Here's why:
* Pronoun Case: You need to use the objective case of the pronoun when it's the object of a verb or preposition. In this sentence, "you and me" are the objects of the preposition "for."
* Subject vs. Object: The subjective case is used when the pronoun is the subject of a verb (e.g., "I study"). The objective case is used when the pronoun is the object of a verb or preposition (e.g., "She gave it to me").
Therefore, the correct sentence is:
This book is a good one for you and me to study.