Hi
as to how far the OP is - who knows? - perhaps he''ll tell us.
But it semed that some posters were confusing linear algebra with elementary algebra - not quite the same thing!
As for Appollo.........
The main booster was about 56 miilion HP, if you believe John Clark in 'Ignition - a history of the development of liquid rocket propellants'. He was Isaac Asimov's boss at NARTS. Marvellous book.
And as it was RP-1 (kerosene ) and liquid oxygen probably a hybergolic starting slug of di-ethyl zinc or something like it to light the fire.
The lander used (I think) nitric acid/N2O4 oxidiser and UDMH/MMH fuel, which are themselves hypergolic, and so no ignition is required.
but they must have driven the solenoids somehow - what with I wouldn't know......... were 2N3055's
about then?
something beefier than a 2N3904, I guess!
regards
Allan