A poster consists of a printed area and margins (See image). The area of the entire poster is A = 96 square inches. The goal is to find the dimensions A = xy 3" A = A(x) = Now, A'(x) = The area of the printed part, as a function of x and y is x = 96 x+6 6 Use the substitution principle to rewrite the area as a function of x. Hint: You are given the area of the total poster. 2" x 4 inches 2" Y = 12 Xinches and y that maximizes the printed area. To determine optimal values, we need to look at A'(x) = 0. Solving for x and, ultimately for y, yields X y 3" What is the maximum area of the printed part? A = Question Help: Message instructor 72 X square inches

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