It will be fairly steep. The base plates will be 2-4 hours (see the installation instructions with the base plates for an estimate), and the AF1 takes 3-4 hours as well (again, see the instructions). Shop labor rates vary, but anywhere from $80-$125 per hour is typical, with RV dealers at the high end of that range.
You also need brake/turn/tail light hook-up for the towed vehicle, and that will likely add a couple hundred more.
I think you will be somewhat north of $500, and maybe as much as $1000 at some shops. A place that specializes in hitches is probably less expensive than RV dealers.