State the dual of the following and solve the same by the simplex method: Maximize Z = 4x + 2x₂ subject to 2x, +3x, +5x, 22, 3x₁ + x₂ +7x, 53, x₁ +4x, +6x, ≤5, x₁,x, 20,x, unrestricted
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A:
Maximize 4 2
subject to 2 3 5 2,
3 7 3,
4 6 5,
, 0, unrestricted
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