I enjoyed playing through this. It worked well. The gameplay was simple and easy to understand. There was some randomness to it, but it was largely logic and calculating what was best for the greater good. I really like that you put the notice at the start about how players can't save everyone. It helps to put the player in the right mindset, and let those who can't handle losing anyone decide if they are up for playing it. The story and gameplay worked well together and fit a post-apocalyptic setting. There was a bit of a disconnect in being post-apocalyptic survival, but also fairly causal gameplay.
I was able to get through the 6 weeks. It would be nice if you added some stats to the end screen. At least the final totals, but possibly a graph showing the totals over time. I restarted it to verify some things, and noticed that the options are the same on a second playthrough. Adding some variety would be nice for replayability, though I acknowledge that balancing such to ensure the player can always win is much harder with random events.