Advice needed re leggy dracaena

[quizzical1]

Hi all,
I have a Dracaena with variegated leaves (white, pink and Light green). Firstly does anyone have any idea what sort it might be?

Secondly, although it is a nice healthy looking plant, it has done what I believe they all do,(the nature of the plant) in that as it has grown, it has slowly but surely shed all the leaves from the bottom up. It now resembles a miniature palm tree. It is about 4'6" tall with the head of leaves being about the top 15" or so. The stem/trunk is only about 1/2" thick on average(top to bottom). What I would like to know is, (a) can I cut the top off and re-root it, thus making a shorter plant and (b) if this is possible, will the original plant then produce more leaves from the base?

Would be most gratefull for any help/advice on this matter. Thank you.

[quizzical1]

[ACE]

Cut it off at the height you want, then try and  root the top, they say that new leaves will soon appear on the cut stem, never tried it myself.