A page that is x inches wide and y inches high contains 30 square inches of print. The

Chapter 3, Problem 120

(choose chapter or problem)

Publishing A page that is x inches wide and y inches high contains 30 square inches of print. The top and bottom margins are 2 inches deep and the margins on each side are 2 inches wide.

(a) Draw a diagram that illustrates the problem.

(b) Show that the total area A of the page is given by

\(A=\frac{2 x(2 x+7)}{x-4}\)

(c) Determine the domain of the function based on the physical constraints of the problem.

(d) Use a graphing utility to graph the area function and approximate the page size such that the minimum amount of paper will be used.

Text Transcription:

A = 2x(2x+7) / x-4

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