Lets say there are 10 different pills that improve or impair judgement each assigned a rating (1-10) of increasing or impairing your judgement (1 stupid, 5 normal, 10 super smart)
You currently know of one pill that results in 8/10 judgement
Now each day you are one of these pills you earn a certian amount of money:
1/10: $6 2/10: $9 3/10: $15 4/10: $26 5/10: $45 6/10: $78 7/10: $136 8/10: $416 9/10: $728 10/10: $1274
You can only try one pill a day
What is the most profitable way to go about earning the most money in one week, one month, and a year?
Would this scale if there was 1000 pills assigned a rating of (1 stupid - 1000 really smart) pills each increasing the amount of money to make on the pill by 1.1 times for each (starting at 6$ for the dumbest pill)
You go about finding the other pills by taking one a day and marking down how much it improves your judgement (assuming you know how to do this accurately)
Do you experiment 2 days out of the week and then for the other 5 you take the 8/10 pill until you find the 10/10 pill and then keep taking the 10/10 pill for the rest of the month when you find it?
or do you take little risk and take the 8/10 pill every day?
To summarize a few points : 1. You gain money depending on the last pill you took 2. After taking a pill, you know it's rating 3. You can only take one pill per day (or none?) 4. You want to maximize you gain after one (week/month/year) 5. You only know the 8/10 pill.