One of the reasons Tesla is not sporting cars powered with graphene batteries yet has to do with the biggest problem concerning graphene: It's incredibly difficult, time-consuming, and expensive to make.
One of the most promising advances in speeding up the production process is by mixing graphite — the widely available material that pencil led is made of — with other substances using a process called doping. The result is a liquid that you then transform from a graphite cocktail into a graphene-based material.
One way to do this is by exposing the liquid to a laser, like researchers at UCLA did in February 2013 to quickly produce a graphene-based supercapacitor that could charge and discharge a hundred to a thousand times faster than standard batteries. (There's even a video of how it's done, and how you can do it at home!)
These liquid graphite mixtures are sometimes called graphene ink, which have a number of other applications including printable, flexible electronics that are thin enough to fold, roll, and crumple without breakage. In fact, you can purchase three-quarters of a cup of this stuff for just $175. These inks are usually purchased by researchers, but they're available to anyone.