option 1... 100% for investment, I assume that is the amount of money already designated for investment, and other needs have been fulfilled. If I have to choose only among the three options provided, I would go with option 1. Bitcoin is more stable than altcoins, making it a good choice for the long term.

Now, why didn't I choose option 3? That's because option 3 takes quite some time, and that method is more suitable for securing monthly income allocated for investment. If this event is a one-time investment, then buying all at once for Bitcoin is wiser than slowing it down into DCA. We can wait for the next investment allocation to buy more and implement DCA on the next budget for investment.

I chose the first point. My assumption is that BTC will be fine in the future and will get better. If you already know what you have to do in the long term, why should you use other techniques? If I had funds as big as Mr. Bob, I would do it because I would set the duration at 5-10 years and I think this is the best. Bitcoin serves its purpose (PerfectMoney).

Let's see how Mr. theymos do DCA. He invests in Bitcoin 100 USD every week and to reach 10,000 USD it takes 100 weeks or 1.9 years, which means he will likely miss the opportunity for higher profits in the bullrun. Or Miss Alice, she only invested 5000 USD in Bitcoin and the rest in altcoins, she also won't be able to get maximum profits on a bull run if that happens in the near future.
I would say that Mr. Bob is the wisest of the three people. The reason is simple, Mr. Bob realizes that a bull run is about to occur, and Mr. Bob did a lump sum - buying a large amount of Bitcoin and holding it until the bull run occurred, at which point his chances of making more profits were much greater than those of the two people.

Well it depends on what their goals are

I’m assuming that Mr. Bob is here for the long-term hence why he put all of his money into bitcoin there’s nothing wrong about this especially if Mr. Bob has 10k usd to invest but still has other assets
Miss Alice most likely is a trader and she’s looking for a short-term profits but at the same time is looking into long-term investments
Mr. Theymos dca method can work if he is not confident enough to give all of his 10k in but if we think about the upcoming halving, i’m not sure if buying btc at a time where the price is increasing is a good method to go by

For those using the weekly or monthly DCA method, they will not have to worry about what stage the market is in and their goal is not just the upcoming halving. Furthermore, we are preparing to enter a new bull season and if not buying now, what is the right time to buy bitcoin? I don't think there will be a bigger dump for us to buy bitcoin cheaply. I think DCA is still the best method because the real bull season is not yet here and bitcoin has not made a new ATH yet.

Mr. Bob is brave to put all of his money into Bitcoin, but his strategy lacks diversity, which is a basic rule of investing. He's putting all of his eggs in one basket, but its a good one. Miss Alice's 50/50 split between Bitcoin and altcoins shows that she is taking a more balanced view and protecting herself against market instability. But the "random" altcoins she chose make me wonder how much study she did. She might strike gold or miss entirely.

Then there's Mr. Theymos, whose $100 weekly DCA into Bitcoin is a great example of strategic waiting. This method evens out changes in the market, which leads to a more stable growth path. In the short term, he might not make as much money as Mr. Bob, but he's planning for the long run. We need to think about who is smarter. The one who tries to get quick wins, the one who tries a lot of different things without a clear plan, or the one who builds slowly but steadily? In this case, Mr. Themos's plan is very similar to smart investment ideas.

Investing $100 in Bitcoin on a weekly basis is a wise strategy to invest in Bitcoin safely in the current market conditions. However, it is not guaranteed to be more profitable than other investment options. If the bullish trend continues, investing 100% in Bitcoin may be more effective. Investing in altcoins carries more risk, but selecting a good altcoin could lead to higher profits.

None of the three of them made the wrong decision, i will also support them all because they are being sincere with their own choice base on their way capacity of investment and the risk taken is not above the opportunity they've got ahead of their Investment, we should know that despite altcoins are not the best to get the most accurate trust on investments, there are still some of them having nice performance if we Invest in them, we may reali more than we ever expected or on the same view loose than we thought we could, as long as bitcoin is in their individual decisions, they are free and safe not to loose their entire Investment in taking risk.

You are making sense from this perspective. First bitcoin is yet to make a new ATH and secondly the anticipated bull run is likely not happening next year. Although, halving will be the first quarter of next year but I have read that the bull run does not happen immediately after halving. It takes more months for the major bull run to happen. If this be the case, theymos can still accumulate good fractions of Bitcoin without fear of lossing and the worse scenario will be that theymos will not maximise his profit but then he might also not lose.
However, if the market goes as speculated by many, Bob will be in better profit than theymos.

Considering the current price of bitcoin and the potential increase in the next month or so, I think that Mr. Bob is the wiser because he's already in the know that bitcoin's going to be going up after some time and he knows that he won't have to worry putting that 10k for too long in bitcoin because the return's definitely going to be a big one especially if Mr. Bob don't mind investing that money. Doing DCA right now seems kind of weird to me, maybe if bitcoin's still around 27k range, I would say that Mr. Theymos is the wiser but even in that market price, I can still see Mr. Bob making the wiser decision given that he doesn't mind the potential price dumps happening in the future.