Convert the following problem to its dual form Maximize $f=400 x_{1}+200 x_{2}$ subject to the constraints [begin{aligned}&
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Convert the following problem to its dual form
Maximize $f=400 x_{1}+200 x_{2}$
subject to the constraints
\[\begin{aligned}& 18 x_{1}+3 x_{2} \leq 800 \\& 9 x_{1}+4 x_{2} \leq 600 \\& x_{1}, x_{2} \geq 0\end{aligned}\]
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