AirDrop between MBP and iPad not working
I unfortunately have no solution to offer you, but I need to point out that the answer by TheBro21 is actually incorrect. AirDrop should work between Macs and iOS devices provided that:


The iOS device supports AirDrop and runs iOS 8 or later
The Mac was made in 2012 or later and runs OS X Yosemite


Since both requirements are fulfilled in your case, it should work. I does for me. If it doesn't, I'd keep looking or take it up with Apple (since your iPad Air is still under warranty, I'm sure they'd help you out).

Source: https://support.apple.com/kb/PH18947