If a + b + c + d = 1, then the maximum value
(1 + a) (1 + b) (1 + c) (1 + d) is
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( 1 + .25 ) ( 1 + .25) ( 1+ .25 ) ( 1 + .25) = 2.441
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Answer:
Max value allotted for each could be 1/4
Hence 1+a = 1+1/4 = 5/4
Thus (5/4)^4 would be the maximum
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