For the record, much of this information is available under /sys/devices/virtual/dmi/id on modern Linuces (ie, since at least 2011), and much if it- notably, not including serial numbers- is readable by regular users. To answer the original poster's question,
product_name is the file that contains the system's model name.
And here would be a handy-dandy script that any user could run, to display the goodness:
for f in *; do
printf "$f "
cat $f 2>/dev/null || echo "***_Unavailable_***"
No filenames have spaces in them, so this information is easily manipulated by utilities such as awk, for your own nefarious purposes!