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The optimal objective function value of a minimization

The optimal objective function value of a minimization linear program problem is 18 and the optimal variable values are (X₁, X₂, X₃) = (2.5, 0.75, 0). The dual problem's objective function is 12Y₁+ 4Y₂, the first constraint is unknown, but the second and third constraints are -4Y₁+ 2Y₂ <= 4 and 2Y₁ -4Y₂<= 2. Find the solution (Y₁, Y₂).

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Business Management: The optimal objective function value of a minimization

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