A desktop publisher designing a small rectangular poster

Chapter 4, Problem 37

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A desktop publisher designing a small rectangular poster decides to make the area 500 in.2 The margins on the top and bottom of the poster are to be 3 in. and 4 in., respectively. The left and right margins are each to be 1.5 in.(a) Express the area of the printed portion of the posteras a function of x, the width of the entire poster. (Thegray region in the figure represents the printed area.)(b) Use a graphing utility to graph the area function thatyou found in part (a).(c) Use a ZOOM feature to estimate (to the nearest onetenth)the width x for which the printed area is a maximum.What is the corresponding length of the posterin this case?

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