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13 Nov 2019
Problem #2-Minimizing Material; Printing Design: You will be printing a novel, and the requirement is for 56 square-inches of print to be on each page. Each page must have a ¾-inch margin at the bottom, and 1-inch margins at the top and on both sides. Your objective is to find the dimensions of the page that fits these requirements but uses the smallest sized paper possible. Step 1: Build the objective function. Let w denote the width of the part of the page that has print on it. Build the function A(w) that calculates the area of the paper as a function of the width of the printed part of the page. Draw a diagram if it helps Step 2: Find the critical values. Using the derivative, find the critical values of the objective function. Step 3: Classify critical values. Perform an appropriate test to classify the critical values) from Step 2 Step 4: Answer the question. What are the dimensions of the paper, and what are the dimensions of the printed portion of the page, that satisfy the requirements and give the smallest sized paper? What is the area of the smallest sized paper to fit the requirements?
Problem #2-Minimizing Material; Printing Design: You will be printing a novel, and the requirement is for 56 square-inches of print to be on each page. Each page must have a ¾-inch margin at the bottom, and 1-inch margins at the top and on both sides. Your objective is to find the dimensions of the page that fits these requirements but uses the smallest sized paper possible. Step 1: Build the objective function. Let w denote the width of the part of the page that has print on it. Build the function A(w) that calculates the area of the paper as a function of the width of the printed part of the page. Draw a diagram if it helps Step 2: Find the critical values. Using the derivative, find the critical values of the objective function. Step 3: Classify critical values. Perform an appropriate test to classify the critical values) from Step 2 Step 4: Answer the question. What are the dimensions of the paper, and what are the dimensions of the printed portion of the page, that satisfy the requirements and give the smallest sized paper? What is the area of the smallest sized paper to fit the requirements?
Lelia LubowitzLv2
24 Apr 2019