Board Thread:Game Discussion/@comment-27109924-20161129030305/@comment-31409792-20170410172249

By making a couple assumptions and doing a bit more math you can actually find a pretty precise number of minutes required to break even. In essence you have to figure out how much time it takes to earn enough fame to account for the bonus fame received in the FIRST Le Mans race, but you only use the DIFFERENCE between the endurance Fame/Min and a version of the LM Fame/Min that is corrected for the service time and hiring the agent.

Here's how it looks

t = LMBF * Bonus / {EFPM * (1+Bonus) - ( [LMBF / (RT + ST) ] - 6000 / [ 2 * (RT + ST) ] ) }

Where:

t = time in minute required to break even

LMBF = Le Mans Race Base Fame, eg. 28,400 for EK 22.1

Bonus = Daily Bonus as a decimal, ie 25% daily bones = 0.25

EFPM = Endurance Base Fame Per Minute

RT = Le Mans Race Time

ST = Le Man Car Service Time

6000 = Fame per gold, and the factor of 2 in its denominator accounts for the doubling effect of the agent

It get's really good when you can vary the EFPM and the Bonus values and do a 3D surface plot like this:



This shows that if the endurance fame per minute and the daily bonus are too low it becomes impossible to ever break even.

Another way to look at it is a contour plot like this:



This shows what combinations of base fame/min and daily bonus are necessary for the desired break even time.

(Yes, I understand that using MATLAB to produce these plots puts me well into the realm of uber-geekdom)