Creating a detailed network diagram for the operation you’ve described can be pretty complex and can't be designed using text. However, I will provide the general description of what will be needed. 1. Administrative main office LAN: This LAN will have a network switch to which all computers in that office are connected. 2. CAT Computer Lab LAN: Here, all computers in the CAT lab will connect to a managed network switch which will then link to the main network switch located in the administrative office. 3. IT Computer Lab LAN: Similarly, this lab will have its own network switch connecting all the computers in the lab, which also communicates with the main network switch located in the administrative office. 4. Internet: At the administrative office's LAN, there would also be a router for Internet connection. This router should be connected to the main network switch. As a result, all PCs in the CAT computer lab, IT computer lab and Administrative LAN would be able to access the Internet. 5. Printer: Similarly, the printer should be set up as a shared device on the network. It can be physically connected to any computer in the LAN and then be shared across the network, or it can be set up as a network printer by connecting it directly to the main network switch. On a high level, the network connectivity would look something like this: [Administrative Office LAN (includes network switch, router for Internet, and shared printer)] <---> [CAT Computer Lab LAN (includes network switch)] [Administrative Office LAN (includes network switch, router for Internet, and shared printer)] <---> [IT Computer Lab LAN (includes network switch)] Remember to use appropriate CAT5/CAT6 network cables to establish these connections. And this is only a high-level description. You need to take into account DHCP settings, printer configuration, potential VLAN configuration, and many other factors to set up a fully operational network. It would be advisable to hire a professional network designer for actual setup. This general description can serve as a guideline for preliminary discussion.