OK. There's no hurry... when at home, at your convenience, you can try the unplugged-reset I proposed. (It's supposed to clear out all remaining power/electric impulses/bit values in it, not to 'shock' it, at all, I may as well mention.)
And once that's done, let me know how it goes. Thanks.
That is bad news. It means, basically, that the store got you a 'lemon'. I advise you to promptly pack up the printer in its original packaging, and take it back to the store. Tell them it is unquestionably inoperative, not at all in working condition, or just use the word 'broken', for that's what it is: broken out of the box.
Ask the store or vendor for an exchange for another printer of the same model, that works... or a printer of equivalent value. They should provide you one for free, unless it's just past their return-exchange period... and I hope it isn't.
For this sort of problem (printer's controls locked up, etc.) as you describe it, there is no possible solution, I doubt. It's not that the cartridges are not put in right, or anything of the sort. There should be some reaction from the printer, to some controls, even so.
Please rate my work on your question. Thanks - and, good luck.