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A printed poster is to have a total area of 711 square inches with top and bottom margins of 5 inches and side margins of
A printed poster is to have a total area of 711 square inches with top and bottom margins of 5 inches and side margins of 4 inches. What should be the dimensions of the poster so that the printed area be as large as possible? (Round your answers to three decimal places if necessary, but do not round until your nal computation.) a. To solve, let :5 denote the width of the poster in inches and let 3; denote the length in inches. We need to maximize the following function of (c and y. b. We can reexpress this as the following function of 3; alone. at) = c. We nd that f(m) has a critical mvalue, denoted CL'C. d. To verify that f(a:) has a maximum at this critical number we compute the second derivative f\"(ac) and nd that its value at the critical number. ...) = _ W V number e. We determine the optimal dimensions of the poster
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