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We have an initial amount of 800 gallons in a tank at 8:00 in the morning on any particular day. 35% of that 800 gallon solution is acidic. Spigot A is turned on every morning at 8:00 AM, putting 15% acidic solution into the tank. 8:30 AM is when Spigot B at the bottom of the tank is turned on, which drains the tank for customer use.

Both spigots range in the rate at which the liquid is coming in and out of the tank. This range is between 4.0 and 4.5 gallons per minute. Everyday I go to ACME ACID to fill my 40 gallon container at 9:00 AM, and I would like the company to guarantee the range of acidity level in my container.

Therefore, we are looking for the narrowest range of acidity when the 40 gallon container is filled completely.

Secondly, if the attendant at ACME ACID one day measures the tank at 8:20 and discovers there to be 884 gallons in the tank, we are looking for the narrowest range of acidity in the 40 gallon container with this taken into account.

Go Nuts!!