Final answer:
The best option to attempt first when you receive a computer with a broken on-board DVI connector is to install a video card.
Step-by-step explanation:
The best option to attempt first when you receive a computer with a broken on-board DVI connector is to C. Install a video card. Installing a video card will allow you to bypass the broken on-board DVI connector and use the video outputs provided by the video card instead. This will solve the problem without the need to replace the entire motherboard or just the DVI connector.