The following data are monthly figures of factory production, in millions of units, from July 2004 through April 2007:

7.4, 6.8, 6.4, 6.6, 6.5, 6.0, 7.0, 6.7, 8.2, 7.8, 7.7, 7.3, 7.0, 7.1, 6.9, 7.3, 7.0, 6.7, 7.6, 7.2, 7.9, 7.7,7.6, 6.7, 6.3, 5.7, 5.6, 6.1, 5.8, 5.9, 6.2, 6.0, 7.3, 7.4

Decompose the series into its components, using the methods of this section, and forecast steel production for May 2007.