A rectangular package sent by a delivery service can have a maximum combined length and girth (perimeter of a cross section) of 120 inches (see figure). (a) Show that the volume of the package is given by the function V(x)=4 x^2(30-x) (b) Use a graphing utility to graph the function and approximate the dimensions of the package that yield a maximum volume. (c) Find values of x such that V=13,500 . Which of these values is a physical impossibility in the construction of the package? Explain. | Nu
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