A fish farm stocks its lake with 350 fish prior to commencing operations. The farm management company observes that the number of fish p at any time t days after commencement of operations satisfies the differential equation dp dt p(600 — р) — 5000 (p20). (a) Determine the equilibrium solution(s) for the population model. (b) Draw a phase plot, dp versus p. Label any intercept with the p-axis. dt (c) Sketch p versus t for the given initial condition. Label any intercept with the p-axis, any asymptote, and the population at any inflection point.

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