if I understood you right, this would be my schedule if I wanted fully weaned mice?

I'm not sure why but I imagined I needed way more cages than 3 or 4. will this setup produce around 50 mice per week?

as for setting up a rat rotation, I'm not grasping your concept. I guess I'm a visual person and struggle with descriptions. how many male tubs should I start out with? I would like to produce about 25 rats per month. do you add a random female every week, or do you somehow keep track of who needs to be bred next? do you remove her after a week, or when she becomes visibly pregnant? is it always only 1 female with the male, or more? is she moved to the communal tub with her babies? sorry for all the questions. I appreciate any help in trying to understand your system.