IMHO, the worst thing you can do is undersize the water softener based upon the monthly consumption.
Because car washes enjoy peak days during the “washing season”, the softener system should be sized for those peak days and not for the average daily consumption. An undersized system will limit your throughput, starve the pumps, and create issues when you can least afford them. Peak days provide an opportunity to impress the occasional washer and hopefully convert them to frequent washers.
With that in mind, calculate the maximum daily potential volume of the car wash:
IBA gallons per car * cars per hour * hours per day
SS bays * gpm * minutes per hour * hours per day
SFR gallons per minute
So, if the IBA uses 75 gallons per car times throughput of 10 cars per hour times 8 hours,
And, the self serve bays operate at 3.2 gpm times 40 minutes per hour times times 8 hours times 4 bays,
And, the RO plant is capable of 3,000 gallons per day,
Your car wash’s potential daily consumption is approximately 10,000 gallons. With everything operating simultaneously, the flow requirement is almost 40 gallons per minute.
With raw water hardness of 15 grains, a single 3 cubic foot softener will be exhausted at 5,100 gallons, a single 4 cu ft softener can make it to 6,800 gallons, and a 5 cu ft softener will treat 8,500 gallons. You’ll need a huge 6 cu ft softener to achieve 10,200 gallons with a single timed regeneration controller. And, it’ll need to be regenerated every day during peak season…not too efficient because we all know that peak days don’t always run consecutively.
A smarter system would use a twin tank, alternating, demand regeneration softener package with 40 gallon per minute continuous flow rate. Something like a commercial twin duplex alternating metered system with 4 cu ft resin tanks, 2” Fleck 2900S valves, NXT 3200 controller, and a 2” Clack flow meter. This would be my minimum selection…for about $4,500 (if you're a good shopper).