Question: A fish hatchery has 500 fish at time t=0. Each year 40 fish are harvested (evenly, throughout the year). The population's instantaneous growth rate is

A fish hatchery has 500 fish at time t=0. Each year 40 fish are harvested (evenly, throughout the year). The population's instantaneous growth rate is 10% per year. Thus after 1 year, if no fish were harvested, there would be slightly more than 550 fish.a) Create the modeling differential equation for the amount of the number of fish in the hatchery, y , at time t .b) Solve the differential equation.c) Is there a steady-state level of the number of fish in the hatchery?

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