The trout population in Lake Beautiful is growing according to the logistic model, C P(t) = 1+ ae - t where P(t) is the number of trout (measured in thousands) years after 2015. The carrying capacity of the lake is 12,000 trout, in 2015 there were 6,000 trout in the lake, and by 2020 the trout population had reached 8,000. Find the numbers a, b and C and use this model to predict Lake Beautiful's trout population in 2023. Round your answer to the nearest hundred.

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