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The initial mass of a certain species of fish is 7 million tons. The mass of...

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Basic Math

The initial mass of a certain species of fish is 7 million tons.The mass of fish, if left alone, would increase at a rateproportional to the mass, with a proportionality constant of 2/yrinitially, but over time if the population gets too high it wouldreach a maximum sustainable population of 50 million tons.

1. Suppose, commercial fishing removes fish mass at a constantrate of 15 million tons per year. Set up the initial value problemwhich determines the fish mass, F(t), in millions of tons at time tin years.

2. For your harvesting model above, what will the long termbehavior of the fish population be?

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