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Let a > 0. If the function f(x) = 6x 3 – 45ax 2 + 108a 2 x + 1 attains its local maximum and mi nimum values at the points x 1 and x 2 respectively such x 1 x 2 = 54, then a + x 1 + x 2 is equal to

1. 15
2. 13
3. 18
4. 24

Correct answer: 18

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