An advertising agency spends £x on a newspaper campaign and a further £y promoting its client's products on local radio. It receives 15% commission on all sales that the client receives. The agency has £10,000 to spend in total, and the client earns £M from its sales, where Page 3 of 4 M = 10,0(1 + )* + 40,00(1+)* -1 30 -1 + 40,000 (1+ y Determine how much should be spent on advertising in newspapers and on radio to maximise the agency's net income. Give your answers correct to the nearest integer. Estimate the profit when the budget available to spend is increased to £11,000.
An advertising agency spends £x on a newspaper campaign and a further £y promoting its client's products on local radio. It receives 15% commission on all sales that the client receives. The agency has £10,000 to spend in total, and the client earns £M from its sales, where Page 3 of 4 M = 10,0(1 + )* + 40,00(1+)* -1 30 -1 + 40,000 (1+ y Determine how much should be spent on advertising in newspapers and on radio to maximise the agency's net income. Give your answers correct to the nearest integer. Estimate the profit when the budget available to spend is increased to £11,000.
Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
Problem 9.71TI: Find the base and height of a triangle whose base is four inches more than six times height and...
Related questions
Question
9
![An advertising agency spends £x on a newspaper campaign and a further £y
promoting its client's products on local radio. It receives 15% commission
on all sales that the client receives. The agency has £10,000 to spend in total,
and the client earns £M from its sales, where
Page 3 of 4
M = 10,00(1 + )" + 4000(1+ )*
+ 40,000 (1 +
Determine how much should be spent on advertising in newspapers and on
radio to maximise the agency's net income. Give your answers correct to the
nearest integer. Estimate the profit when the budget available to spend is
increased to £11,000.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2ee19bc-d40b-43d6-af4a-2bda86405c90%2F078fe28b-50f8-4689-b760-c6baba31a680%2F03fks_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An advertising agency spends £x on a newspaper campaign and a further £y
promoting its client's products on local radio. It receives 15% commission
on all sales that the client receives. The agency has £10,000 to spend in total,
and the client earns £M from its sales, where
Page 3 of 4
M = 10,00(1 + )" + 4000(1+ )*
+ 40,000 (1 +
Determine how much should be spent on advertising in newspapers and on
radio to maximise the agency's net income. Give your answers correct to the
nearest integer. Estimate the profit when the budget available to spend is
increased to £11,000.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![Elementary Algebra](https://www.bartleby.com/isbn_cover_images/9780998625713/9780998625713_smallCoverImage.jpg)
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill