Some years ago, I had an argument with a tribemate:
While searching The Center for our next victim of force-fed mutton in hope of beginning a new breeding line in a freshly wiped server, he made a comment on breeding strategy. Specifically, he mentioned that 'most' official tribes do not begin breeding for mutations until they tame a Giga with 50 points in its melee stat. I disagreed, noting that breeding a Giga with 40 points in its melee stat for mutations was likely to produce 5 new mutations faster than finding one with such a high melee stat. Logically, he brushed me off, quoting some ancient wisdom bestowed on him by some former tribemate that might or might not have been in some official tribe at some time. I did not let this go.
At the time, I had to produce a Mathematics investigation on a topic of my choosing. As a result of my petty disposition, I chose to shoot myself in the foot with a topic well beyond the syllabus I was following. Particularly, I explored the compared efficiency of taming or breeding dinosaurs at a given cut-off stage of points in a desired stat. My goal was to find what I dubbed the 'switching point', the number of points in a desired stat at which it becomes more time efficient to breed for mutations than to tame a new dinosaur in hopes of it having more points in that stat.
This is that investigation.
Maths Investigation..pdf
I had to compress it a lot to upload on here because of the 400kb limit, so some parts aren't particularly legible.
There are some assumptions made throughout the investigation to stay on subject. Many of these are barely relevant to its applications, some should be accounted for when using the formula produced:
Particularly, t-tame is not the actual time to time a dinosaur, but rather the average time it takes you, specifically, to find, tranq, and tame a dinosaur (you should take into account offline time, since raising dinosaurs can be done when offline). E-breed does not account for breeding several dinosaurs at once (as is common practice), since, by doing this, you essentially get one useful mutation every time you hatch a set of eggs, you can replace t-breed by the raising time of your dinosaur in the final formula (you can also just track the average number of useful mutations (level increase, not actual mutations) you get in an hour over a couple of days and replace all of E-breed by this number). I will expand on these and other assumptions if there's any interest.