I do not have a Dodge Service Labor chart to go by, and some mechanics charge by the job, not per hour.
I would estimate that it will cost you about 3 hours of labor at a shop (at whatever rate per hour they charge) + parts (core is $72 at advanceauto.com).
As I said originally, you may have a case where your heat selector switch is malfunctioning. If it is not fully opening the valve holding back the hot water from even getting into the core, then that is your problem.
Have you tried my suggestion of back flushing the core? Disconnect the heater hoses at the firewall and alternate back and forth between the two ports in forcing water thru the core - use a hose with as much pressure as it will put out. DO NOT hook up a high pressure sprayer unless you want to risk rupturing it! if it is not too badly plugged, you will see glop and/or goo come out in fits and bits and pieces. If you cannot get water to force its way through, then you can replace it. If water starts flowing freely from one port , switch to that port and see if it comes out freely from the other way. If it does, your core is clear. All of this costs you nothing but some time and may save you some serious cha-ching.....
Last edited by bg1995redneon; 12-03-2010 at 05:06 PM.