The top and bottom margins of a poster are 6 ft and the side margins are each 8 ft. If the area of printed material on the poster is fixed at 390 square ft, find the dimensions of the poster with the smallest area. printed material Part 1: Let x be the width and y the height of the printed material. Find the area of the printed material as a function of x and y. Part 2: Find the total area of this poster. Part 3: Find y as a function of x, using the given value of the area of the printed material. Part 4: Rewrite the total area of this poster as a function of x. Part 5: Find the derivative of the total area of this poster as a function of x. Part 6: Find the x and y values that minimize the total area of the poster. Part 7: Find the dimensions of the poster with the smallest area. Width = (include units) Height = (include units)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
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Please answer part 7
The top and bottom margins of a poster are 6 ft and the side margins are each 8 ft. If the area of printed material on the poster is fixed at 390 square ft,
find the dimensions of the poster with the smallest area.
printed
material
Part 1: Let x be the width and y the height of the printed material. Find the area of the printed material as a function of x and y.
Part 2: Find the total area of this poster.
Part 3: Find y as a function of x, using the given value of the area of the printed material.
Part 4: Rewrite the total area of this poster as a function of x.
Part 5: Find the derivative of the total area of this poster as a function of x.
Part 6: Find the x and y values that minimize the total area of the poster.
Part 7: Find the dimensions of the poster with the smallest area.
Width =
(include units)
Height =
(include units)
Transcribed Image Text:The top and bottom margins of a poster are 6 ft and the side margins are each 8 ft. If the area of printed material on the poster is fixed at 390 square ft, find the dimensions of the poster with the smallest area. printed material Part 1: Let x be the width and y the height of the printed material. Find the area of the printed material as a function of x and y. Part 2: Find the total area of this poster. Part 3: Find y as a function of x, using the given value of the area of the printed material. Part 4: Rewrite the total area of this poster as a function of x. Part 5: Find the derivative of the total area of this poster as a function of x. Part 6: Find the x and y values that minimize the total area of the poster. Part 7: Find the dimensions of the poster with the smallest area. Width = (include units) Height = (include units)
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