THE UNIT DOES NOT COOL ANDY COLDER THAN ROOM TEMPERATURE.

It depends on if there is anything in it! Those types of coolers are only designed to drop temps of wine bottles to below room temp a few degrees. They don't cool like refrigerator in your kitchen.

Our magic chef wine cooler (mcwc50dbt) when temp is set on digital panel at 45-50 it jumps immediately back to 70 degrees constantly

Try the contol board/panel RF-0668-01 $60 shipped. I had the same problem and that fixed it

The error is likely caused by a bad temperature sensor. The control board may still be Okay.
Replacing both of them is recommended.

Check this link for parts: http://www.partstore.com/Model/HAIER+AMERICA+TRADING/Haier/BC112G.aspx

http://www.haieramerica.com/en/asset/archived/BC112G.pdf
is the link to your manual.Typically in a dual temperature zone wine cooler whites are stored in the bottom and reds on top as whites are better a little colder and the cold air will drop to the bottom of the unit.
Hope this helps!

Next time around do not buy Haier.

Check your thermostat setting, if the setting is ok then something wrong with your thermostat control.

I'm going to say replace the circuit board

Haier BC112G service & user manual:

To adjust the temp of your unit:

• Push & hold the red wine & white wine button at the same time.This will start the temp adjust. You will notice the plus sign & the negative sign on these same buttons, use them to adjust temp. When you are done hit the light button & it will record the new temp.
  

Push the red and white buttons at the same time for about 3 seconds-the temp will start to flash-then press the white button to lower the set temp-when you have it where you want it then push the set buttom