hour of labor $80 bucks a hour= $80
$20.00 for the part. Depends how much they mark the part up
If you do it your self you can save money.
I don't think it should cost more then $100 to $120 bucks.
I live in colorado and the average shop rate is $80 bucks a hour. I know some states a hour of labor is is like 120. so it depends.
Hope this helps