A tree farm starts with ten trees. Tree growth is expected to follow logistic growth with a first-ordergrowth rate constant of r = 0.16 yr ' to a maximum of 8,000 trees.Write the equation that relates the number of trees (N) to time (1). What are the values of No, r, and K?Plot the number of trees over time if no harvesting occurs. Go out to about 70 years.What is the maximum sustainable yield (MSY)? How long should you wait before harvesting at the MSY?Determine the standing crop. (The standing crop is the number of trees at steady state when harvesting at the MSY.)

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10th Edition

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Author:Erwin Kreyszig

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Chapter2: Second-order Linear Odes

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A tree farm starts with ten trees. Tree growth is expected to follow logistic growth with a first-order

growth rate constant of r = 0.16 yr ' to a maximum of 8,000 trees.

Write the equation that relates the number of trees (N) to time (1). What are the values of No, r, and K?
Plot the number of trees over time if no harvesting occurs. Go out to about 70 years.
What is the maximum sustainable yield (MSY)? How long should you wait before harvesting at the MSY?
Determine the standing crop. (The standing crop is the number of trees at steady state when harvesting at the MSY.)

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