If the invoice was $57k for a 2002, that's what the dealership floor planned the car for, it doesn't matter if the dealership took delivery of the car last year or 3 weeks ago. The whole time these cars are sitting on the lot, the dealership is paying interest on them. You need to look on the driver's door and find out the date of manufacture. Add about 45 days to that date and this will give you some idea of how long the dealership has had this car in inventory. The reason you need to know this is because it will give you extra bargaining power. If the dealership has had this car for more than 60 days, they'll want to unload it. Even though most interest rates are pretty low, paying interest on a $57k car eats into the profit. One thing to also consider is that manufacturers often give dealerships a rebate/kickback on true demos. Who knows what that amount would be, but let's say $1k as a guess. So with a $57k invoice, substract $1k(maybe), add 6% for profit and you come up with about $59-$60k like Showroom said.
Even though the car is essentially new it is one model year older now so that should be worth another $1k deduction. Offer them $58k and see what happens. You could also drag this deal out for 3 more weeks and see if you could benefit from the "end of the month" sales push. This could be kind of risky, but if you salesperson thinks you're really interested in buying this car they should call you first before someone else buys it from under you.
