Factory is a bathtub with 50 gallons capacity, drain is outlet to market and can output 3 gallons per hour. Faucet is raw material input and allows materials in at a rate of 4 gallons per hour. Assume the bathtub is empty to begin with, then drawing the diagram of the factory and finding the maximum rate at which the market can be served if all valves were set to maximum. What happens to the system over time?