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Let a, b, c, d, e, f be positive real numbers such that a + b + c + d + e + f = 7. Find the minimum value of 1/a + 4/b + 9/c + 16/d + 25/e + 36/f.

 Apr 9, 2020
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The minimum vaue occurs when a = b = c = d = e = f = 7/6.  Then 1/a + 4/b + 9/c + 16/d + 25/e + 36/f = 78.

 Apr 9, 2020

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