When a reservoir is created by a new dam, 50 fish are introduced into the reservoir, which has an estimated carrying capacity of 8000 fish. A logistic model of the fish population is p(t)= 400000/ 50+7950e-.05t, where t is mearured in years.
Part A: How long does it take for the population to reach 4000 fish?
Part B: How long does it take for the population to reach 60% of the carrying capacity?
Part C: How fast ( in fish per year is the population growing at t=0?
Part D: How fast ( in fish per year is the population growing at t=2?