Desktop to support 2560x1440 resolution?

I'm looking to buy this monitor http://www.newegg.com/...roduct.as… BenQ 2560x1440 resolution.
I also (of course) need a desktop to go along with this. The MAXIMUM my budget can be is $1500. I'm looking at this http://shop.lenovo.com/...sktops/th… I will at the most be playing Minecraft, surfing the web (etc.,), maybe, just maybe I might want to play like BF4, but maybe.

2560x1440 Resolution Monitor
$1500 MAX
Minecraft, maybe bf4, mostly web surfing

And yes, I'm pretty much dead set on that monitor.

I'm not even sure Minecraft Can support that resolution.

The link is no good

HOW YOU GET A DESKTOP