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I have the following problem: given $f_1=\frac{-12d_1}{\pi d_2-12}$ and: $f_2=\frac{\pi d_1d_2}{\pi(d_1+d_2)-12}$ I need to find the maximum of the following function: $F(d_1,d_2)=|f_1|+|f_2|$ with the following constrains: $|f_1|\ge a$ $|f_2|\ge b$ Thanks in advance.

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