The article describes how the author hacked the Bob Dishwasher's detergent cartridge system, known as Bob Cassettes, to refill them at a significantly lower cost. The author discovered that the cassettes use a simple EEPROM chip to track the number of washes, and by resetting this counter, they can refill the cassettes with commercial dishwasher detergent and rinse aid. This approach can save up to 98% of the cost compared to buying new cassettes. The author also notes that the cassettes are designed to be convenient but expensive, with a cost of around 48p per wash.