Was thinking about this today and wanted to get some opinions. Numbers for bets will be in easy amounts to make calcs simplier and while I'm using a specific example I am asking the question in a general sense. This is also a question on poker theory so ignore things such as reads on opponents and other things outside of the actual cards and odds.

Say as an example you have As Ks as hole cards and flop comes 9d Js Qs, turn comes with 3c.

There are thus 21 outs for your hand with having the nuts if straight flush, flush or straight hits you and so need pot odds of 21:24 or roughly 1.14:1.

Given these odds, if the pot is $1000 and another player puts in an overbet of $10000 you are getting pot odds of 11:10 of 1.1 and thus below the required pot odds for the outs. The question thus is no matter what the outs, if pot odds are below card odds do you not call or is there a stage at which card odds negate the concern over pot odds (such as in this case where it's essentially a 50/50 chance on winning do you just ignore pot odds totally)?

Secondly, say the pot was $1000 again and the other player only bet $100 so you are getting pot odds of 10:1...in this case is it the case to raise an ammount such to get the pot odds back up around 1.14:1 if he calls...or more generally should any raise be such that a call will bring the pot to laying correct pot odds for the outs odds you currently have?