for track or road?
for road you are limited in the change in dimension you can run.
rims is kind of easy.. larger diameter rim = less sidewall flex (depending on tyre), less suspension effect from tyres, more overall weight, more inertia, more unsprung weight, and ability to run larger brakes.
tyre width vs grip is quite complex, although there are fancy equations to describe it.
combination of mechanical and chemical grip.
need to consider contact patch shape (width vs diameter of tyre), weight on tyre vs width (contact patch shape, comformtiy of rubber to road suface etc) etc etc.
basically it depends what surface you are usign it on.
a rough surface with little rubber on it needs more mechanical grip
a smooth surface that has been "rubbered in" can use more chemical grip
and final factor (maybe) is water removal capablity, and resistance to tyre leavign the road surface due to standing water (to do with weight vs width and pattern)
400mm wide sticky tyre on an F1 spec track might give great chemical grip, but the contact patch shape may cause instability etc etc
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