Question: 1. Given a 1, . . . , a K R+ , find the optimal value of q k . 2. Given b 1, .

1. Given a1, . . . , aK R+ , find the optimal value of qk.1. Given a1, . . . , aK R+ , find the

2. Given b1, . . . , bK R , find the optimal value of qk.optimal value of qk. 2. Given b1, . . . , bK

qargmaxk=1Kaklnqk,s.t.qk0,k=1Kqk=1. qargmaxs.t.k=1K(qkbkqklnqk),qk0,k=1Kqk=1.

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