A printed poster is to have a total area of 709 square inches with margins of 6 inches and side margins of 3 top and bottom inches. What should be the dimensions of poster so that the printed area be as large as possible? the Let a denote the width of the poster in inches and let y denote the length in inches. We need to maximize the following function of x and y: Area = We can reexpress this as the following function of x alone: A(x) = Thus the optimal dimensions of the poster are inches in width and inches in height giving us a maximumal printed saua re

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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A printed poster is to have a total area of
709 square inches with top and bottom
margins of 6 inches and side margins of 3
inches. What should be the dimensions of
the
poster so that the printed area be as
large as possible?
Let a denote the width of the poster in
inches and let y denote the length in
inches. We need to maximize the
following function of x and y:
Area =
We can reexpress this as the following
function of x alone:
A(x) =
Thus the optimal dimensions of the
poster are
inches in width and
inches in
height giving us a maximumal printed
area of
square
inches.
Transcribed Image Text:A printed poster is to have a total area of 709 square inches with top and bottom margins of 6 inches and side margins of 3 inches. What should be the dimensions of the poster so that the printed area be as large as possible? Let a denote the width of the poster in inches and let y denote the length in inches. We need to maximize the following function of x and y: Area = We can reexpress this as the following function of x alone: A(x) = Thus the optimal dimensions of the poster are inches in width and inches in height giving us a maximumal printed area of square inches.
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