shove and win win = 1.15+.1.15+.25+10.15 = 12.7
shove and lose = -9
x - hero's equity when all-in
12.7x-(1-x)9 =0
12.7x-9+9x=0
21.7x=9
x=41.4%
Hero needs 41.4% equity vs MP (assuming UTG folds), when all-in to shove here.
QQ vs AK/AA/KK
Hand 0: 60.143% { KK+, AKs, AKo }
Hand 1: 39.857% { QQ }
QQ vs JJ/QQ/AK/AA/KK
Hand 0: 52.634% { JJ+, AKs, AKo }
Hand 1: 47.366% { QQ }
Given that I think it's more likely he flatted AK than AA/KK (discount these), I think it's a marginally +EV shove here.