So how did you get to this screen? What was the source of the installer?
What's the current installed OS, or did you erase the HD?
Have you ever been able to use Internet Recovery? Macs produced in 2010 required an EFI update in order to use Internet Recovery - did you do anything that might have rolled-back your EFI?
I have a 2008 iMac my kid uses when visiting - its EFI can't be updated to support Internet Recovery, so to get into Utilities (Recovery) I need either a Snow Leopard DVD and working DVD player (and the internal DVD is kaput) or a bootable USB drive.