Looks a nice and well designed faucet, the faucet system is similar to Freebitco.in, the rewards are good for now.
I see the "Power Up" feature, it costs 2836 satoshis and double the earnings each claim on faucet, but how long does it last?
24 hours from time of purchase.
Hmm, ok. Considering someone can't claim all day long, all the 24 hours of the day, it's impossible to earn minimum 5568 satoshis daily. Most probably a person claims average 10 hours daily, so 2320 satoshis minimum... Without luck to earn the higher prizes this Power Up doesn't worth very much.
It's more profitable to continue claiming for free.
Your calculations are correct but if you get the third tier or higher than you can earn more. The Power Up is a roll of chance but we can assure you that higher tiers are given out. There is a good chance that you can earn more than what the power up costs.