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I have the following simplified optimization problem:

$max \quad ax+by$

S.t.

$0≤x≤\bar{X}$

$0≤y≤\bar{Y}$

$z=E−x+β.y$

where, $E$, $β$, $a$, $b$, $\bar{X}$, $\bar{Y}$ are parameters and the rest are variables. What would be the dual objective function for this optimization problem?

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