Problem 3: Applied Optimization Complete the following applied optimization word problem. Include a well-labeled figure, clearly defined objective function of one variable, interval for which that...

Applied Optimization

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Extracted text: Problem 3: Applied Optimization Complete the following applied optimization word problem. Include a well-labeled figure, clearly defined objective function of one variable, interval for which that variable is logical, and supporting mathematical statements to justify that the optimal result is achieved for the function on the interval within a grammatically correct exposition. Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package with Fed Ex without additional fees, the sum of the length of the package and the girth of the package must be less than or equal to 100 inches, where the girth is the circular distance around the package. What is the largest volume that her package can have?