Final answer:
Jim and Michael perform 'Islands in the Stream' by Dolly Parton and Kenny Rogers at Jim's barbecue on the show 'The Office,' highlighting the show's character dynamics and cringe humor.
Step-by-step explanation:
The karaoke duet performed by Jim and Michael at Jim's barbecue on the television show The Office is 'Islands in the Stream' by Dolly Parton and Kenny Rogers. This memorable scene showcases the unique dynamics between the characters and emphasizes the cringe humor that the show is famous for. Additionally, it's an example of the character-driven storyline typical in the series, with such moments revealing more about each person's personality and relationships with their coworkers.