Final answer:
Albert Sullard Barnes designed the Delta Chi badge, and it was made by the L.G. Balfour Company.
Step-by-step explanation:
The Delta Chi fraternity badge was designed by Albert Sullard Barnes. The actual badge was made by the L.G. Balfour Company, which is well-known for producing pins, badges, and other Greek-life jewelry. Albert Sullard Barnes, one of the original eleven founding members of Delta Chi, created the design in 1890 when the fraternity was established at Cornell University. Although other companies like Jostens, Herff Jones, and Tiffany & Co. have been involved in crafting fraternity and sorority jewelry, it was indeed the L.G. Balfour Company that was responsible for the fabrication of the first Delta Chi badges.