d*s reader recs! [ayse needs your help]

d*s reader ayse has a really interesting design dilemma. read on and see if you can solve her drafty door disaster..

"Dear DS, We just moved in to our lovely apartment. We are using a separated part of our living room as a bedroom. It has the second door on one of the walls and the sound of the hallway plus the cold air coming through is a real problem. We are looking for a solution which would preferably cover the whole wall, isolate the
sound and the bitter cold. We got estimates on a sheet rock wall, they say it would cost around $1000!!! Can you guys recommend a solution which is cheap and would look good as well? I know I need a miracle, that's why I'm asking you... Any ideas other than hanging a carpet??"

so, how would YOU fix this problem? thanks in advance for all your help! [and thanks to 2modern for sponsoring the column today!]