Professor Kremepuff Has Published a New Textbook

Professor Kremepuff has published a new textbook. This book will be used in classes for two years, at which time it will be replaced by a new edition. The publisher charges a price of $p₁ in the first year and $p₂ in the second year. After the first year, bookstores buy back copies from students for $ and resell them to students in the second year for $p₂. (Students are indifferent between new and used copies.) The cost to a student in the first year of owning the book for a year is therefore $(p₁ - ) . In the first year of publication, the number of students willing to pay $v to own the book for a year is 40,000 - 1,000v. The number of students taking the course in the first year who are willing to pay at least $w to keep the book for reference rather than resell it is 40,000 - 5,000w. In the second year, the number of students who have not previously taken the course and are willing to pay at least $p for a copy of the book is 30,000 - 1,000p. If the publisher sets a price of $p₁ in the first year and $p₂ in the second year, with p₁ B3 p₂, then the total number of copies that the publisher sells over two years will be equal to

A) 80,000 - 3,000p₂.
B) 80,000 - 1,000(p₁ -) .
C) 80,000 - 1,000p₁ - 1,000p₂.
D) 70,000 - 1,000(p₁ +) .
E) 70,000 - 1,500p₂.

Correct Answer:

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