Cleaning a Jet Tub?

I used a cup or so of bleach and a tablespoon or so of dawn, filled the tub and ran the jets for an hour or so.

I watched a cleaning show on TV and they recommended a cup of dishwasher powder. I filled the tub with hot water and ran the jets for about 15 minutes. I was amazed at the hair (cat) and tiny bug parts that came out!