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Work through the simplex method (in algebraic form) step by step to solve the following problem. Maximize:
Work through the simplex method (in algebraic form) step by step to solve the following problem.Maximize: Z = x1 + 2x2 + 2x3,subject to5x1 + 2x2 + 3x3 ≤ 15x1 + 4x2 + 2x3 ≤ 128andx1 ≥ 0x2 ≥ 0x3 ≥ 0