(a) 4.6-7. Consider the following problem.MaximizeZ = 2x, + 5x, + 3x3, subject toX - 2x, + x, 2 202x, + 4x2 + x3 = 50andX1 2 0,X2 2 0,X32 0.(a) Using the Big M method, construct the complete first simplextableau for the simplex method and identify the correspondinginitial (artificial) BF solution. Also identify the initial enteringbasic variable and the leaving basic variable.I (b) Work through the simplex method step by step to solve theproblem.I (c) Using the two-phase method, construct the complete firstsimplex tableau for phase 1 and identify the correspondinginitial (artificial) BF solution. Also identify the initial enter-ing basic variable and the leaving basic variable.I (d) Work through phase 1 step by step.(e) Construct the complete first simplex tableau for phase 2.I (f) Work through phase 2 step by step to solve the problem.(g) Compare the sequence of BF solutions obtained in part (b) withthat in parts (d) and (f). Which of these solutions are feasibleonly for the artificial problem obtained by introducing artificialvariables and which are actually feasible for the real problem?c (h) Use a software package based on the simplex method to solvethe problem.

according to u answering A given,

Answered: subject to X - 2x, + x, 2 20 2x, + 4.x2…

Practical Management Science

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subject to X - 2x, + x, 2 20 2x, + 4.x2 + X3 = 50 and X, 2 0, X2 2 0, X3 2 0. (a) Using the Big M method, construct the complete first tableau for the simplex method and identify the corresp initial (artificial) BF solution. Also identify the initial basic variable and the leaving basic variable.