Who said it will solve it? It will flatten the curve as it already has in other countries, hopefully avoiding a catastrophic overload of the healthcare system.
Hence their conclusion is that we'll have to basically do this on and off, flattening the curve just enough that we can let it rebound for a while without overwhelming the system, until vaccine is available. Which they estimate as 18 months, out of which 12 will be on lockdown - however you space it out.
So yeah, the economic impact will be massive. But it doesn't have to translate to people dying, if we focus on preventing that. One person could feed themselves and others with the fruits of their labor since the agricultural revolution. It's a question of distribution, not of availability.
Why do people think that waiting 2 weeks or 2 months will solve it? Only way that works is if enough people have it and now have immunity, which helps prevent spread when quarantine is over.
We are going to have a worse economic impact from mass quarantine than the 200 thousand people (mostly over 60) that would have died.