Is this game beatable?

[LomU]

OK, so my local, and only casino has just opened up a poker room. Having never played live I head to the game as soon as I can find the time. They spread 2/4, 5/10, and 10/25 LHE. Games are very soft[6-8 to a flop,3-5 to a showdown], but the rake makes me think it's unbeatable, even with the awful players. Casino is in Auckland, New Zealand.

2/4 rake is every player dealt a hand has to pay $1 before a hand is dealt.

5/10 game rake is 10% up to a max. of $10.

I didn't ask about the 10/25 game as I don't have the roll for it.

Now being an online player, when the attendent told me this I said 'THAT'S ******* OUTRAGEOUS!!' and promptly left[asked me to leave]. However, upon further reflection, perhaps the 5/10 game is beatable? The 2/4 game seems unbeatable, perhaps I'm missing something? I have no idea how to calculate if the game is beatable or not.

PS. no tipping required, it's illegal.