Find the optimal value of the objective function for the fol

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

Solution