Final answer:
Option 2) Marcus determines the school's routers that transmit information from the Internet across the district are slow and outdated, so he will use the money to replace them.
Step-by-step explanation:
The best hardware or software solution for the situation in the Lincoln County School District would be option 2) Marcus determining that the school's routers are slow and outdated, and using the money to replace them.
Replacing the slow and outdated routers would improve the speed of the Internet in the classrooms, addressing the teachers' complaints. This solution focuses on the root cause of the problem and provides a long-term improvement in the Internet speed.