A population, left alone, obeys the logistic law with an initial population of 1000 doubling itself in about 2.3 hours. It is known that the environment can sustain approximately 10,000 individuals. Harvesting is introduced into this environment, with 1500 individuals removed per hour, but only during the last 4 hours of a 24-hour day. Suppose that the population numbers 6000 at the beginning of the day. Use a numerical solver to sketch a graph of the population over the course of the next three days. Find approximately the size of the population at the end of each day.
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