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Edit: Magic numbers for HOI 4 is, 10 or 20 for combat width.
But really, arty all the way anywhere else.
I'm not 100% sure I accounted for everything, so here are my assumptions :
Amphibious landing (standard) : -70%
Additive modfiers :
Amphibious landing (Line Artillery) : -40%
Amphibious landing (Support Artillery) : 0%
Amphibious landing (Marines) : +50%
NB : There's a max penalty cap of -80%
Line Artillery Soft Attack modifier : +25%
Suppport Artillery Soft Attack modifier : -40%
Suppport Artillery Hard Attack modifier : -50%
'36 equipment :
Infantry Eq (Soft Attack / Hard Attack) : 6 / 1
Artillery Eq (Soft Attack / Hard Attack) : 30 / 2
Amphibious Landing :
10 Inf + Support Art : 15.0 Soft / 2.6 Hard
7 Inf + 2 Line Art + Support Art : 18.6 Soft / 2.1 Hard
10 Marines + Support Art : 45.0 Soft / 7.6 Hard
7 Marines + 2 Line Art + Support Art : 39.6 Soft / 5.6 Hard
So clearly, for amphibious landings, go marines only.
To fight on normal terrains, Rivers crossings, etc, the penalty are less severe , so in that case Line Artillery shines again.
Link on my marine template.
http://images.akamai.steamusercontent.com/ugc/268345649782704656/736451389350C6BDCB3E6AB6A0F43C68A53C5905/
only SP Arty....support arty is probably the single most useful support asset in the game, has no width, and no mechanized penalty.
Oh wow, thank you so much I've been scrounging the internet trying to find this information, you are awesome!
A full estimate would need to take into account Doctrine and other Tech bonus and various equipment levels...