"Feld"marshall Hartmann (I’m just going to assume this is a pun of some sort and not a horrible misspelling), IMHO I do believe you are wrong on both counts.
I chose “this question is stupid” It is stupid because you couldn’t choose Transports. Without them you can’t do anything. Your precious infantry can’t swim across the English Channel nor the Atlantic. Whthout them the allies can do nothing. They are the units that make winning the war possible. Transports are the most important units of the game, period.
So what exactly are you going to move in your ‘precious’ transports? Inf can’t cross SZs and transports need something to transport, so apparently you need both (note, this does not agree with your ‘balanced force’ theory- more on this latter).
If you’re assuming the question implies that you can only buy one type of unit, I would definitely go with only buying infantry. Only buying transports would mean that you can only move the ground units you start with. This is not enough to win the game by a long shot. If you could buy only inf than at least Russia can put up a good fight against the Axis. Can you imagine the game if Russia couldn’t buy infantry???
For the record I don’t think the question assumed you could only buy 1 type of unit, just that it was asking what unit had the greatest overall value (aka what unit is most important to winning).
And now, who would only buy infantry in this game? Sure, INF are the backbone of your army, but nothing equals a well balanced force. You build infantry to lose them, nothing else!
You care to back up this ‘well-balanced force’ theory up with some actual numbers? Let’s each buy up any units we want with 60 IPCs. I’ll buy only inf and you buy any mix of units you wish. I will win >99% of the time on defense. I’m not doing very badly on offense either. All infantry might lose on offense but it will be close and it will never be as bad as a mix of units will lose on offense.