Find the optimal value of the objective function for the following problem by inspecting only its dual.

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Find the optimal value of the objective function for the following problem by inspecting only its dual. (Do not solve the dual by the simplex method.)
Minimize z = 10x1 + 4x2 + 5x3
Subject to
5x1 - 7x2 + 3x3 ≥ 50
X1, x2, x3 ≥ 0
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