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13 Nov 2019
(12) Biology Bass help to keep a pond healthy. A suitable quantity of bass keeps other fish popu- lation in check, and helps balance the food chain. A lake is to be stacked with r number of smallmouth and y number of largemouth bass. The weight of each fish is dependent on the population densities. After a six-month period, the weight of a single smallmouth bass is given by Wi = 3-0.002x-0.001y and the weight of a largemouth bass is given by W2 4.5-0.004 0.005y Assuming no fish die during the six month period , how many smallmouth and largemouth bass should be stocked into the lake to maximize the total weight of bass in the lake? Make sure to verify your result using second derivative test (Hint : Total -Wiz + Wa)
(12) Biology Bass help to keep a pond healthy. A suitable quantity of bass keeps other fish popu- lation in check, and helps balance the food chain. A lake is to be stacked with r number of smallmouth and y number of largemouth bass. The weight of each fish is dependent on the population densities. After a six-month period, the weight of a single smallmouth bass is given by Wi = 3-0.002x-0.001y and the weight of a largemouth bass is given by W2 4.5-0.004 0.005y Assuming no fish die during the six month period , how many smallmouth and largemouth bass should be stocked into the lake to maximize the total weight of bass in the lake? Make sure to verify your result using second derivative test (Hint : Total -Wiz + Wa)
Patrina SchowalterLv2
19 May 2019