Convert Logo to High-Resolution

I already have my logo in a single JPEG file, but it falls apart when I try to print it. I need it rebuilt at a clean 300 DPI so it looks razor-sharp across all media. While I don’t want the concept changed,... (Budget: $10 - $30 USD, Jobs: Adobe Illustrator, Adobe Photoshop, Graphic Design, Illustrator, Image Processing, Logo Design, Photoshop, Vector Design)