Solved: Geometry A rectangular package to be sent by a

Chapter , Problem 3.4.112

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Geometry A rectangular package to be sent by a delivery service (see figure) can have a maximum combined length and girth (perimeter of a cross section) of 120 inches. (a) Use the diagram to write the volume of the package as a function of (b) Use a graphing utility to graph the function and approximate the dimensions of the package that will yield a maximum volume. (c) Find values of such that Which of these values is a physical impossibility in the construction of the package? Explain.

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