A small population of 1,000 mice lives on a 100-acre island in the middle of a large lake. One dry summer, the lake level drops dramatically. The island's size increases to 1,000 acres, and the island remains at this expanded size. The vegetation quickly spreads, and the mouse population grows. The population expands greatly, doubling in size each year for three straight years. However, the hawk populations expand too. From the fourth year until the present, the death rate of the mouse population has been equal to the birth rate. Which of the following statements about this population of mice is true? The current mouse population is much less than the carrying capacity.

The new population is about 16,000 mice.

The logistic curve for this population will be J-shaped.

The population density of the mice went from 10 mice per acre before the lake level changed to 8 mice per acre at its new carrying capacity.