Ok, beginning to get the picture here. The choices as to whom to attack are literally random, so the infantry might futilely poke at a tank or the heavy gun might waste itself on an infantry. Clearly then, defensively you do want infantry to soak fire, basically to just be targets. Offensively then, infantry is also a problem. Investing too much in just tanks means you can't kill the heavy stuff fast enough because you are too busy wasting fire on infantry.
I think my earlier idea stands, My formation will include infantry, ten or twelve to a tank. This will significantly cut down on hits to the tanks, while they last. To counter the opposite problem, my tanks wasting fire on infantry, all my infantry will carry Gattlings (Heavy Crew-Served Anti-Personnel). This way not only are my tanks vastly less likely to get hit, but the enemy infantry won't last long enough to be a hindrance to my tank's fire. The two in combination should make short work, hopefully without too much attrition from my infantry. To make sure my infantry don't die too fast from enemy infantry fire, they will wear the best power armour.
I suppose a case could be made to throw in (in addition) a bunch of unarmored light infantry with light weapons (which would cost virtually nothing), just to do lots of dying. They could soak vast numbers of hits to prevent the Gatling troops from having to soak too much. But here my roleplaying genes kick in to overrule my wargame genes. I am too reluctant to be so wasteful of human life.
Edit: Relooking at the numbers and figuring odds, I might actually make my infantry compliment ten Gatling and twenty Power Armor with improved personal weapons per superheavy tank.