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Two rats, one male and one female, scampered on board a ship anchored at a local dock. The ship set sail across the ocean.

 

Two rats, one male and one female, scampered on board a ship anchored at a local dock. The ship set sail across the ocean. It reached a deserted island in late December. The rats abandoned the ship to make their home on the isiand. Given these ideal conditions, you can estimate the number of offspring produced from this pair of rats in one year. To do so, make these four assumptions. The original fenmale gives birth to eight young on January 1. She produces another litter of eight rats every 40 days thereafter as long as she lives. Each fenale rat born on the island will produce her first litter of eight young 120 days after her birth. She will produce a new litter of eight rats every 40 days thereafter. Every litter has four males and four females The rats have no natural enemies on the island and plenty of food. This means that no rats die in the first year. How many rats will live on the island by the following January 1. including the original pair?

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Solution If we look at the population every 40 days there is the first birth on Jan 1 and t... blur-text-image

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