Re: car batteries, the difference between the rear-wheel drive and long range is about 20kwh (60kwh vs 80kwh), for $8K. That's $400/kwh and doesn't even include all the other trim differences like having dual motors instead of single.
So, it looks like reality is closer to $300-$400/kwh, depending. Not close to your ideal of $50/kwh, but still much better than $1000/kwh.
1) https://www.tesla.com/energy/design/overview 2) https://service.tesla.com/docs/Public/Energy/Powerwall/Power...