If you mean that he wants you to cut out the furniture from the white background, or just have a piece of furniture on a white background you have 2 choices
1. Have enough lights to evenly light the background so it is white and be careful not to mar the floor when changing or adjusting furniture
2. don't worry about the background and cut out the furniture in P-shop
It depends a lot on the kind and quantity of furniture and the time/fee you can charge for meticulously cutting out the furniture from the backdrop.
I recently shot some computer workstations that had lots of curves and angles. The client only wanted the furniture against a transparent or white background.
I buit a stufio in his warehouse by using white seamless paper on the floor and sheets of 4'x8' foamcore to make the back wall and sides. I was only interested in making sure the floor and background gave me enough contrast to later be able to use paths and/ or the magic wand to cut the furniture out. I wasn't too concerned about keeping the floor clean (footprints, etc.) since I was going to cut it out anyway. I used to 2 strobes in umbrellas and cross lit the background and side wall foamcore (didn't worry about seeing the stands in the set because I was going to cut it out anyway. and two monolights in umbrellas to light the furniture. It was pretty flat lighting, but the furniture had a lot of aluminum tubing on it so I need flat light to get soft reflections anyway.
Point is, you can spend a lot of time and extra lights to light the white perfectly as if you were shooting a film transparency that had to be perfect "in camera", or you can spend less time lighting the set, more time concentrating on getting the right kind of light and reflections in the furniture and cut out the furniture in P-shop, then leave the backgroung transparent, or add a white layer... and maybe a few painted in shadow to "lock" the furniture to the artificial floor.
This was my solution, but I don't know what kind of furniture you will be shooting.
Robert Strom
I can post photos of the furniture if you are interested