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Omni-MATH / Let a_(i),b_(i),i=1,⋯,n are nonnegitive numbers,and n≥4,such that a₁+a₂+⋯+a_(n)=b₁+b₂+⋯+b_(n)>0. Find the maximum of (∑_(i=1)^(n)a_(i)(a_(i)+b_(i)))/(∑_(i=1)^(n)b_(i)(a_(i)+b_(i))) · Discussion
Discussing Let a_(i),b_(i),i=1,⋯,n are nonnegitive numbers,and n≥4,such that a₁+a₂+⋯+a_(n)=b₁+b₂+⋯+b_(n)>0. Find the maximum of (∑_(i=1)^(n)a_(i)(a_(i)+b_(i)))/(∑_(i=1)^(n)b_(i)(a_(i)+b_(i))) · Omni-MATH
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