Things are more expensive but some things are still so cheap. Saw chicken drumsticks at Costco for $0.59/lb couple weeks ago.
Eggs were on sale $0.99/dozen last week at a supermarket. Stocked up on 6 dozens.
I still see prices for whole chicken $0.69-0.99/lb at various markets all the time.
Picked up some corn at 6 per $1 last week. This week is 5 for $1. Few weeks ago, Roma tomatoes were on sale at 0.79/lb. Non-sale price is like $2-3... Bone-in pork shoulder could be had a $1-2 a pound still. My freezer still have a bunch of $4-5/lb Korean style beef short ribs and $2/lb pork ribs.
Sure some of these sales may be loss-leaders but there are deals to pick up every week. I'm in Bay Area, CA so not exactly low cost area.
Your $2000 for a family of 5 is a lot but I can see it. NYC can add up fast.