A poster consists of a printed area and margins (See image). The area of the entire poster is A = 96 square inches. The goal is to find the dimensions A = xy 3" A = A(x) = Now, A'(x) = The area of the printed part, as a function of x and y is x = 96 x+6 6 Use the substitution principle to rewrite the area as a function of x. Hint: You are given the area of the total poster. 2" x 4 inches 2" Y = 12 Xinches and y that maximizes the printed area. To determine optimal values, we need to look at A'(x) = 0. Solving for x and, ultimately for y, yields X y 3" What is the maximum area of the printed part? A = Question Help: Message instructor 72 X square inches
A poster consists of a printed area and margins (See image). The area of the entire poster is A = 96 square inches. The goal is to find the dimensions A = xy 3" A = A(x) = Now, A'(x) = The area of the printed part, as a function of x and y is x = 96 x+6 6 Use the substitution principle to rewrite the area as a function of x. Hint: You are given the area of the total poster. 2" x 4 inches 2" Y = 12 Xinches and y that maximizes the printed area. To determine optimal values, we need to look at A'(x) = 0. Solving for x and, ultimately for y, yields X y 3" What is the maximum area of the printed part? A = Question Help: Message instructor 72 X square inches
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Transcribed Image Text:A poster consists of a printed area and margins (See image).
The area of the entire poster is A = 96 square inches.
The goal is to find the dimensions x and y that maximizes the printed area.
A = xy
3"
A = A(x) =
The area of the printed part, as a function of x and y is
Now, A'(x) =
x =
Use the substitution principle to rewrite the area as a function of x.
Hint: You are given the area of the total poster.
6
96
x+6
12
2"
- 4
X
2"
To determine optimal values, we need to look at A'(x) = 0.
Solving for x and, ultimately for y, yields
✓inches
Xinches
y
X
3"
Question Help: Message instruct
What is the maximum area of the printed part? A
=
72
X square inches
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning