Not impossible, but it still seems to me improbable.
For now I guess we all hope Tesla gets to 5,000 per week quickly so we can start to see some hard evidence on either side.
Ok, you meant it is improbable that Tesla can be profitable when $35,000 model 3 consists of majority of the mix.
I am really surprised that your answer was not "absolutely impossible". But anyway... It's like if SpaceX were public, and you were shorting the stock because you thought landing orbital booster is absolutely impossible and Elon is full of it. Most respectable experts actually agreed with you. Don't you think the exit for the bears would be really crowded when you hear the voice from web cast "the Falcon has landed"?
Even with that question aside, did you considered the long term impact of the Model 3 on the used car market? I argue even a $40,000 EV would still beat $25,000 Camry or Accord, in cost consideration alone.
Our family of 4 used to live on less than $3000 per month. Finding a cheap and reliable used car was very important. Each time car breaks down, it was disaster for us. We are very familiar with oil change, transmission fluid flush, coolant leak, water pump replacement, alternator trouble, serpent belt crack. Money is one thing, more importantly when your car in the shop, you can not get to work, shop for food or pick up kids.
Tesla has shown their car batteries really last. With much fewer moving part, longevity and reliability in old age is superb. We can already see on twitter many people brag about their Model S past 150k mile. For an ICE at around 150k miles, it is about $1000 per year in maintenance and repair, if it is still running. with fuel savings, we are talking about nearly $3000 per year difference ICE car vs EV, without considering the time loss.
EVs in general would lasts longer than ICE cars. The expected total cost of ownership over the lifetime of a $40k ev will be lower than a $25k Accord. The lifetime of an EV is too long, nobody thinks that long. But the higher reliability during old age would mean EVs can command higher resale values. That would significantly change the new car buyers attitude.
So I think it is very likely Tesla can make money building $35k model 3s., and even if they don't, we just need a little bit more time for used car market to realize their value.