I would look at spending about $800-1000
Geta mid range or just slightly lower graphic card like a nvidia gt550 or maybe a 540
or amd(ati) 56XX
As for a processor, Intel core i5 should be plenty
You could go core i3, but I would make up for the slower proc with a better graphics card.
Im not sure what amd has out atm for processors to compare with 13 and 15.
edit
I just checked newegg, and there are some lenovo lappys with some nice specs in the ~750 range
I've never had a lenovo, but there are starting to make some noise recently
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