If broadband wifi modem can receive WiFi?

Sure. There is a modem, but it is in the manager's office. A router will work fine.

You will change the settings of the router to exactly what the apartment management told you is needed. If they told you "just plug in the ethernet and it works", that means they have a modem-router for the building and one DHCP node is fed to your room, so the Wi-Fi router you buy (or already own) will also be set for DHCP, and your computer should be set for DHCP. You can continue to re-rout as many times as you want (not suggesting, just stating a fact), but bandwidth will suffer.

Your fastest connection is by ethernet with no Wi-Fi router. Of course, people nowadays like to jump around while typing, and drag the notebook to the couch to type while letting the TV talk to them, so they can't bear to use ethernet. If the manager told you to set your computer to PPPoE, and gave you a user name and password, you would use those settings for your router, and set your computer to DHCP.

My home network has a fiber-optic modem provided by China Mobile that has no Wi-Fi (like the manager's office of your building). I connect an ethernet router to that with two directly connected tower computers for maximum speed. Then I connect a Wi-Fi router to the ethernet router, and a second Wi-Fi router (in bridging mode) a distance away as a signal booster to the far reaches of my huge apartment-office.

That allows me to use Wifi on three notebooks through four concrete walls. The modem-router from the ISP has settings for PPPoE. All other devices are DHCP.

How can these two PC nerds fail to know this is possible?

Yes, by your description = Linksys E900 Wi-Fi Router - http://homestore.cisco.com/en-us/Routers...

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