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4. Math Modelling Problem: A Fish Farmer's Production Forecast (HW) In a fish farm, it is estimated that an enclosure is able to support a

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4. Math Modelling Problem: A Fish Farmer's Production Forecast (HW) In a fish farm, it is estimated that an enclosure is able to support a maximum of 10,000 snappers. The farmer started with 2000 snappers two years ago and realizes that their population has doubled presently. The farmer is able to start harvesting from the enclosure when the population reaches 7000. Derive a math model for the snapper population, S(t). Graph your solution. When can the snapper enclosure begin production? 20 S(t) = (thousands) ANS: In another 2.5 years approx. 2 + 8e-0.49 4. Math Modelling Problem: A Fish Farmer's Production Forecast (HW) In a fish farm, it is estimated that an enclosure is able to support a maximum of 10,000 snappers. The farmer started with 2000 snappers two years ago and realizes that their population has doubled presently. The farmer is able to start harvesting from the enclosure when the population reaches 7000. Derive a math model for the snapper population, S(t). Graph your solution. When can the snapper enclosure begin production? 20 S(t) = (thousands) ANS: In another 2.5 years approx. 2 + 8e-0.49

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