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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
icon
Related questions
Question

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.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Knowledge Booster
Fundamental Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning