Titled mentioned are the main focusing criteria. Of course it should be i7 processor, a graphics card, 15" display and not too heavy to carry and a matt display.
Thanks for your opinion in advance.
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For a system that is preconfigured with those specs, you are looking at a bit higher of a price range. The lowest I could find via Newegg was an HP Envy for around $1700 USD.
I feel your best bet, would be to look at companies that build customized systems.
One such place is XoticPC.
I'd look at customizing either of the following, to stay close to budget: