I've got the same setup as you but 1 sediment and 2 carbon and run around 100 gal/day on mine. My first 2 filters are plugged by sediment in 1 month. I'm only suppose to get about 3000 gallons on mine so I change all of them every month and never have chlorine issues. I'm not sure how fine your carbon filters go. My sediment is 1 micron, how fine are your carbon?
