Mathematical Enigma - XX

Algebra Level 1

If a,b,c,d,e,fa,b,c,d,e,f are positive real numbers which satisfy

a+b+c+d+e+f=7,a+b+c+d+e+f=7,

find the minimum value of

1a+4b+9c+16d+25e+36f.\frac { 1 }{ a } +\frac { 4 }{ b } +\frac { 9 }{ c } +\frac { 16 }{ d } +\frac { 25 }{ e } +\frac { 36 }{ f } .

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