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Cat and Mouse Problem On an island that had no cats, the mouse population doubled during t...

Cat and Mouse Problem On an island that had no cats, the mouse population doubled during the first 10 years, reaching 50,000. At that time the islanders imported several cats, who thereafter ate 6,000 mice every year.

(a) What is the number of mice on the island t years after the arrival of the cats?

(b) How many mice will be on the island 10 years after the arrival of the cats?

(c) Normally, the cats’ harvest would not remain constant. What will happen if the cats harvest 10% of the current mouse population each year?

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Solutions For Problems in Chapter 2.3