a edfinity.com C HW9 - 4.7 Applied Optimization Problems OPEN Turned in automatically when late period ends. A printed poster is to have a total area of 665 square inches with top and bottom margins of 3 inches and side margins of 6 inches. What should be the dimensions of the poster so that the printed area be as large as possible? To solve this problem 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: (x - 12) (1 -6) We can reexpress this as the following function of a alone: f(x) = (x-12) 665 6 We find that f(x) has a critical number at x = V 1330 To verify that f(x) has a maximum at this critical number we compute the second derivative and find that its value at the critical number is 6V1330 665 , a negative number. Thus the optimal dimensions of the poster are V1330 - 12 inches in width and inches in height giving us a maximumal printed area of 48 square inches. us deliver our services. By using our services, you agree to