The correct answer is:
C. The names of the companies you worked for
The length of time you worked for the companies
Explanation:
In the given text, the names of the companies the person worked for (Pulitzer's Jewelry and Stanley & Simmons Security) are mentioned, but the length of time worked for each company is missing. Providing the duration of employment at each company would make the application more complete and informative for the potential employer. Hence, both the names of the companies and the length of time worked for each company are essential details that are missing in the application.