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E_1^3 + E_2^3 = 1728 - 3(32)(12) = 1728 - 1152 = 576
Thus, the value is \(\boxed{576}\).
Question: An entrepreneur developing AI for sustainable agriculture models crop yield \( Y \) (in kg) as a function of water input \( x \) (in liters) with \( Y = -2x^2 + 24x + 100 \). What is the maximum possible yield?

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