To keep the situation from spinning further out of control, you must devise a new method for rabbit control. Moreover, your “rabbit harvesting” activities have made your solution increasingly unpopular among key segments of Foxless residents. You can't push your team members any harder, as they have begun to rebel against your demands for frequent rabbit counting. For one thing, counting rabbits is hard work, and FACT simply doesn't have enough resources to keep up the monthly count. This effort seemed promising, but it was much too difficult for you and your small team to keep up. Then, you tried being smarter, counting the number of rabbits on the island each month, and adjusting the fraction of rabbits harvested based on that count. The effort turned into a colossal failure, as no matter what fraction you tried, you seemed to be either harvesting too many or too few rabbits. In your first attempt to control the rabbit population, you and your team tried “harvesting” each month a fixed fraction of the rabbit population, hoping to reach a steady population of around a thousand rabbits. The ability for rabbits to multiply has turned into a big headache for you, the head the Foxless animal control team (FACT). Without predators on the island, though, the rabbits became a little too happy, and soon the island became overrun by rabbits. A family let loose a few rabbits on Foxless Island, thinking the rabbits would be happier outside than inside being rough handled by their children.
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