Join the new world

Ok, I will admit I am borrowing this from someone else but thought it was valuable info that I know I have asked and I am sure others are wondering. Enjoy the read...


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When personal trainers went out, I was angry at admins just like most players. I never bought gold at this site and don't ever plan to do so.

Fortunatly I'm a rich player, and I have a bunch of gold in stock, and I doubt I'm the only one. I personally only have acces to Caesar (1G) so I made this little study for Caesar only.

I am a Field Marshall with 15 strength and I believe I can spend 2G/day without ever going broke. Most people would think 2G/day is a lot, but I don't think so. My salary (9.5 skill land) + weapons from the army (that I don't need to buy myself) + referrals earnings + random medals + companies make me easily 2G/day.

So basically I wanted to see how long it took for Caesar to be worth it in term of damages for a strength 15 FM with 2G to spend per day. Basically I came up with these 2 choices :

1- 10 gifts + 6Q3
2- 10 gifts + 6Q1 + Caesar training

I believe gift fight is mandatory, it deals more damage and gives 2 extra xp every day.

So I just made an excel sheet and made a graph to compare the daily damages. Here is the result:

obrazek
Graph 1

The result was that it took 187 days for a strength 15 FM to start dealing more daily damages with solution 2. But obviously at day 187 you will still have dealt less damage than with solution 1, you'll just be starting to catch up. You'll really have benefitted from Caesar when the blue triangle is bigger than the orange triangle.

So I made another graph of the total damages difference between the 2 solutions (Solution 2 minus Solution 1):

obrazek
Graph 2

So basically this means it will take a strength 15 Field Marshall exactly 374 days to have dealt more damages using the second solution.

Note that 374 = 2*187. So it takes you twice as long to benefit from Caesar than it takes you to actually deal more daily damages.


What about other strength skills?

I obviously won't make graphs for every skill level so I decided to solve the problem from a mathematical way. Basically the equation of the curve from the second graph (damage differences) is equivalent to:
t^2 + (1 - 25*S)t >0 with S= strength, t= number of days to be breaking even on your caesar investment.

Which means that if your strenght is S, it will take you (25*S - 1) days to benefit from Caesar.

Exemples :
You are strength 20 Field Marshall: it will take you 499 days for Caesar to be worth it.
You are strength 11 Field Marshall: it will take you 274 days to Caesar to be worth it.

obrazek

Finally, we can say that personal trainers are a long-term investment, even more than Q5 houses. But the reward is also higher and will grow everyday (see graph 2). the only question to ask yourself now is : "Will I still be playing this game in t days ?"

*Above calculations from