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Harvesting Fish. A fish farmer has 5000 catfish in a pond. The number of catfish increases...

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Advance Math

Harvesting Fish. A fish farmer has 5000 catfishin a pond. The number of catfish increases by 8% per month and thefarmer harvests 420 catfish per month.

a) (4 points) Find a recursive equation for thecatfish population Pn for each month.

b) (4 points) Solve the recursive equation tofind an explicit equation for the catfish population.

c) (3 points) How many catfish are in the pondafter six months?

d) (3 points) Is harvesting 420 catfish permonth a sustainable strategy for the fish farmer?

e) (4 points) What is the maximum number ofcatfish the fish farmer can harvest to sustain his business?

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