At their peak, females can produce two egg cases a week, each containing up to 16 eggs, but after that, their reproductive capacity declines to about one case a month. The eggs incubate for six to eight weeks. In her lifetime, one female produces an average of 150 young.erman cockroaches mature so fast that only a few weeks after hatching, they're ready to make babies of their own. When you take all the different generations into consideration, one female can be the matriarch of up to 35,000 roaches.