AMD Radeon HD 6800 Series
The "6800 series" likely means you have a 6850 or 6870 version card. Both are a bit slower than the 7850 card recommended, and they only have 1GB of GPU ram. People are running Planet Coaster with slower graphics cards, so as long as you keep your park smaller than you may be able to enjoy it.
You CPU is also just a weeee bit slower than the FX 4300 (link to basic compare site) that is recommended as the minimum.
I believe there is the chance to upgrade both of them, but that would take around $175 for the fastest AMD AM3+ processor to install into your current motherboard, and a new graphics card could be $200 to $400 for a great performing one. We'd need to know more about your computer, and you'd need to know someone (maybe yourself) who wants to install the parts.
Maybe preorder the game for the cheaper price now before the price goes up later. Let the alpha testing people and Frontier work out all the bugs. Then try the released game on your current computer when all the features and optimizations are implemented. Then you can make the best informed decision. Computer parts will likely be cheaper in 6 months, graphics cards will be better.
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