Man Management was Jose's problem. But if you're telling me any player doesn't have a competitive edge you're wrong. As for the nothing to play for, players tend to have this little thing deep down inside called pride. On top of that, if you play shite for your last 5 games just because there is nothing left to play for, before a european championships and the transfer window, you're wrong. These games are giving players a chance to show what they can offer their national team and what they can offer to other teams and potentially get themselves a big money move. What better stage to show that on than against the team sat at the top of the table?
Take Hazard as an example I doubt he is suddenly going to start playing like a talented footballer again, just so that he gets his move to Real/PSG. He's been shite all season, this is the 2015 PFA Player of Year we're talking about, he'll still get a move whether he's played well or not this season, why tweek a hamstring in a nothing game for the Chavs? There is no need for them to play at 110%.
There is all sorts of shadiness in sports. Just because we think our league is above that sort of thing, nothing to suggest that certain teams may or may not act professionally or competitively.