Hard to say with much certainty. Concession, parking, and apparently merchandise revenue goes fully to the teams, so if we estimate 9 total home games (450,000 fans) and an average of $10 / fan (profit), that would be 4.5M (might be on the low end).
Ticket revenue is more interesting.
All ticket revenue from both stadiums is pooled. You don't just get revenue from your home games.
The Commissioner's office takes 15% of all ticket revenue.
For the wild card games, 42.5% of ticket revenue goes to the players pool, 42.5% to the team.
For the division series, 51% of ticket revenue goes to the players pool, 34% to the team for the first three games. The teams get 85% for the remainder of the games.
For the championship series and world series, 51% of ticket revenue goes to the players pool, 34% to the team for the first four games. The teams get 85% for the remainder of the games.
Based on our seating prices for full playoff strips (facing the Yankees would push it higher), that could mean approximately 150M total revenue for a team's total playoff appearances if they make it to the world series. 22.5M of that goes to the commissioner's office. That would leave the WS teams with as little as roughly 21.5M and as much as 32M (I think). Some sites online seem to suggest half that, so I'm not 100% sure on the numbers. I may have missed something.
Now for the TV revenue, which will likely contribute the most. As far as I know, teams keep all their TV revenue for the post season. I'm not 100% sure on that though. Estimating 40 ads per game (might be low), and 100k per ad (premium ad slots seem to range between 100k and 200k for the type of viewer numbers we can expect, so I'm being conservative, I think), that would mean an extra 4M per game. That would mean 44M to 76M extra for the full playoffs.
Taking roughly median numbers for games played, a full playoff run based on those could be worth 90M.