A poster consists of a printed area and margins (See image). The area of the entire poster is A = 600 square inches. The goal is to find the dimensions x and y that maximizes the printed area. A = 3" x = y = 2" inches X inches 2" The area of the printed part, as a function of x and y is y Use the substitution principle to rewrite the area as a function of x. Hint: You are given the area of the total poster. A = A(x) = To determine optimal values, we need to look at A'(x) = 0. Now, A'(x) = - Solving for x and, ultimately for y, yields 3" I What is the maximum area of the printed part? A = I square inches
A poster consists of a printed area and margins (See image). The area of the entire poster is A = 600 square inches. The goal is to find the dimensions x and y that maximizes the printed area. A = 3" x = y = 2" inches X inches 2" The area of the printed part, as a function of x and y is y Use the substitution principle to rewrite the area as a function of x. Hint: You are given the area of the total poster. A = A(x) = To determine optimal values, we need to look at A'(x) = 0. Now, A'(x) = - Solving for x and, ultimately for y, yields 3" I What is the maximum area of the printed part? A = I 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...
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Transcribed Image Text:A poster consists of a printed area and margins(See image).
The area of the entire poster is A
=
600 square inches.
The goal is to find the dimensions
and y that maximizes the printed area.
A
=
3"
The area of the printed part, as a function of x and y is
Now, A'(x) =
X =
y =
Use the substitution principle to rewrite the area as a function of x.
Hint: You are given the area of the total poster.
A = A(x) =
To determine optimal values, we need to look at A'(x) = 0.
Solving for x and, ultimately for y, yields
inches
inches
2"
X
O
2"
one ore.
te
y
What is the maximum area of the printed part? A =
C
3"
square inches
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