Bob,
It seems that your task is to setup a voting system for a legistative chamber, Like Congress or a State House of Representatives???
Additionally reading through your posts, it seems that there was a change in direction from retaining the existing mechanical switches to installing touch screens. Great idea....
Anyway here's a small touchscreen that you can network.
http://www.ezautomation.net/products/pdfs/ezcetouchpanel_spec6colorstn.pdf
I'm gonna say that though a PLC might do the job, if you go with touch screens then you might be better to consider the Soft PLC.
If you retain the existing switches, (3 or 5?? per desk??) So each switch is momentary?
Sounds like a lighted pushbutton:
http://www.idec.com/Products/ENG/Switches/SwitchA8_us.html
Anyway if you retain the lighted pushbuttons you could network something like up to 240+ Automation Direct DL-06s togeather on a two wire RS-485 network. Each PLC might be located in a small enclosure near a group or row of desks in the chamber and take hardwire inputs, and provide hard wire outputs from up to 16 or less desks (presuming 3 switches and three lights each) in that row. All DL-06 PLC would be network on the same cable to a "Master" DL-06, or PC that would poll the network and report the results to the master display. The hardware cost on such a system would be about $500.00 per maybe every 16 desks, or less then $40.00 per desk. Add some $$$ for the master and cableing and new pushbuttons maybe. A quick calculation based on your previous posts indicate that you might spend about $7,000.00-$10,000.00 for all hardware and cableing, software etc..(not including the big display system).
Each PLC would have identical programs but have a unique node address. Programming the remote and master PLCs to simply report "desk 75 votes Yea" is quite simple. After the final voting is tabulated the master would command all the remotes to reset and turn off the indicators.