Understand that labor represents anywhere from half to two-thirds the cost of residential construction work. If your friend's unit cost $1600, and if it was one-third of the total cost of the work, the final cost would have been $4800, right in line with the final price.
In order to complete that job, the contractor had to calculate the unit size required, disconnect and remove the old units, install the new units, possibly modify or replace refrigerant piping and electrical wiring, fabricate and install a new connection between the new air-handling unit and the existing ductwork, possibly replace controls, charge the system with refrigerant, test the refrigerant piping for leaks, test the system for performance, and then pay insurance on their personnel and vehicles, pay for their office and shop overhead, pay payroll taxes for their personnel, pay benefits for their personnel, and hope somehow to find a little profit in there somewhere.
Your best bet for your system is to interview three or four contractors and get yourself at least three proposals for your system, and then select not necessarily the lowest, but the one which appears most professional and complete, written by the person you liked best among the bidders.
If you start out thinking everyone is out to screw you, you will likely end up getting screwed. If a contractor gets the sense that you are looking for the absolute cheapest system available, he just might give it to you, and at some point you won't be happy.
In your friend's case, it is very possible that the contractors tried to talk him/her into changing the ductwork because that would have been the way for their system to work at its best. It may seem to be working fine, but perhaps it could have been even better. No one will ever know, except the contractor who tried to do his best but was denied.
There is no site or chart that will give you the information you need, because each individual house is different. If there are two exactly alike houses on opposite sides of the street, they could need different unit sizes only because their orientation is different. So, since size can vary greatly from house to house, and since prices vary from region to region, and since there are cheap and dirty units available as well as well-built ones, even the price of two units of the same capacity can vary widely.
Get yourself some good bids, and then you'll know the price.
Architect (NY) and Home Designer (PA)