I'm looking to buy a new laptop for school, and I just got a pretty nifty LG 34UM95 34" 21:9 Ultrawide 1440p monitor on sale. I knew I would want this regardless of which laptop I end up with so I bit on the sale. The monitor supports thunderbolt, so would the 15" MBP handle this monitor any better than the 13"? What aspect of computing power determines ability to output to a monitor; is it the graphics card, processing power, RAM? Combo?