How well will I manage in Copenhagen with a 30 000 DKK a month?

Hi! I've been offered a job in Copenhagen with a salary of 30 000 DKK gross (approx. 19 000 DKK net). It's notably less than I asked for and I'm trying to figure out if it will be worth to consider this job nonetheless. I'd be okay with a furnished studio within a reasonable distance from my work, close to Copenhagen University. Being 35, I'd rather avoid shared accommodation if possible. I do have financial commitments that I would still have to take care of at home, so I'd need an estimate for the living costs of a single person. I'm not looking for a lavish life but to be able to eat out and go to the movies or theater every once in a while, afford a a monthly yoga pass, be able to cook at home (a decent kitchen, as cooking is one of my hobbies) and save about 1500 DKK a month to uphold a long-distance relationship with my fiance. I've tried doing the math based on info I've found online, but info on things like monthly food costs etc is a bit difficult to find. I'd be very happy if you could help me out :)