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 + 2×2 + 2×3,subject to5x1 + 2×2 + 3×3 ? 15×1 + 4×2 + 2×3 ? 128andx1 ? 0x2 ? 0x3 ? 0