2x or 3x Mojo?

Many users have asked whether or not the 3x mojo introduced today (for 30 idols) is a better deal than the 2x mojo potion (15 idols). They said it's overpriced and costs more with less benefit. So let's work this out. Ascii Art Style.

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Assumed: Lvl 80 with 900 mojo gained on each game, without potions.

== Comparing 3x Mojo Potion Options ==

(Each bar = 3 games)        0    15   30   45   60   75   90
                            |    |    |    |    |    |    |
3x Mojo 12 Games - 10 Idols ||||                           (21,600 total mojo from potion)
3x Mojo 90 Games - 65 Idols |||||||||||||||||||||||||||||| (162,000 total mojo from potion)

3x Mojo 24h      - 30 Idols ||||||||||||||||||||||||||||||| >
                            |||||||||||| More cost effective than 12 game pot after 36 games
                            |||||||||||||| More cost effective than 90 game pot after 42 games 

== Comparing 2x and 3x Mojo Potions ==

                    (Assuming you play 60 games in 24 hours)
                    (Blue Color = Time when potion is active) 

                    [Day 1 (24h) of Gameplay]      [Day 2 (24h) of Gameplay]      [Total]
                   / 60 Games | 108 000 mojo       60 Games | 108 000 mojo     \   216 000 Mojo Gained
                   / 54 000 mojo gained normally   54 000 mojo gained normally \   108 000 Mojo gained normally
                   / 54 000 mojo from 2x potion    54 000 mojo from 2x potion  \   108 000 from Mojo potions
2x Mojo - 15 Idols   ||||||||||||||||||||||||      ||||||||||||||||||||||||     
3x Mojo - 30 Idols   ||||||||||||||||||||||||      ||||||||||||||||||||||||  
                   \ 60 Games | 162 000 mojo       60 Games | 54 000 mojo      /   216 000 Mojo Gained
                   \ 54 000 mojo gained normally   54 000 mojo gained normally /   108 000 Mojo gained normally
                   \ 108 000 mojo from 3x potion   (no potion used)            /   108 000 from Mojo potions

As you can see, you get the same amount of mojo in a period of 2 days (48 hours). It's if you actually have the incentive to play through the 2nd half without the use of mojo potions. (Note that it amounts to the same idol usage since you're using the x2 potion twice for a total cost of 30 idols)

By normally gained: The mojo gained without potion use. That is 900 mojo * 60 games = 54 000 mojo.