Hypothetical question:
I raise MP 1's bet to $ 1 and BB raises to $ x. How big can X be so that I still have the (implied) odds to call the raise? About $2.00 - 2.50 ? Is there a change if UTG calls BB's raise since the effective stack now is smaller?
There are different variables that affect the decision, but the logic is the following:
Assuming MP1 folds, and assuming we are behind and BB has a made flush:
You have 7 outs (14% to improve) on the turn and 10 outs (20% to improve) by the river after the turn.
Assuming he will call your push if you hit then
0.35*(min(your stack, his stack) + current pot) > min(your stack, his stack) to be correct.
Alternatively assuming his raise is X, if X < 0.14(current pot) you should also call