A rancher with 800 feet of fencing wants to enclose a rectangular area including three pens each with the same width. However the length of the second pen is twice the length of the first pen, and the length of the third pen is twice the length of the second pen.  a) Determine the function that models the total area (A) of the three pens combined in terms of its width (W) only.  b) Find the width (W) that provides the largest possible total area of the three pens combined.

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