An editor has been allotted $60,000 to spend on the development and promotion of a new book. It is estimated that if x thousand dollars is spent on development and y thousand on promotion, approximately f(x,y) = 20x^(3/2)y copies of books will be sold. a. How much money should the editor allocate on development and how much on promotion to maximize sales? ( Ans x = 36, y =24) b. If this is done, estimate the maximum number of copies of the book that will be sold. ( Ans: 103680) For this question, use Langranges theorem.
An editor has been allotted $60,000 to spend on the development and promotion of a new book. It is estimated that if x thousand dollars is spent on development and y thousand on promotion, approximately f(x,y) = 20x^(3/2)y copies of books will be sold. a. How much money should the editor allocate on development and how much on promotion to maximize sales? ( Ans x = 36, y =24) b. If this is done, estimate the maximum number of copies of the book that will be sold. ( Ans: 103680) For this question, use Langranges theorem.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An editor has been allotted $60,000 to spend on the development and promotion of a new book. It is estimated that if x thousand dollars is spent on development and y thousand on promotion, approximately f(x,y) = 20x^(3/2)y copies of books will be sold.
a. How much money should the editor allocate on development and how much on promotion to maximize sales? ( Ans x = 36, y =24)
b. If this is done, estimate the maximum number of copies of the book that will be sold. ( Ans: 103680)
For this question, use Langranges theorem.
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