Question
Consider the following simplex tableau which is not optimal: Simplex Tableau 2 0 0 0 1 X1 1 0 1 -2M - 1 I2
Consider the following simplex tableau which is not optimal: Simplex Tableau 2 0 0 0 1 X1 1 0 1 -2M - 1 I2 33 16M - 1 I3 $1 -1 0 1 0 0 0 0 M $2 -333 33 (5M+1) where M is a parameter that represents a big number and 1, 2 and 3 are positive decision variables, - s and s are slack or surplus variables, a and a2 are artificial variables, z is an objective function that must be maximised. a1 1 0 0 0 a2 0 0 1 0 rhs 1 2 2 -4M+2 BV a1 I3 a2 2 Continue with the simplex algorithm until the final simplex tableau is found and deduce the optimal solution. If the LP problem is infeasible or unbounded, give the reason for this. If the LP problem has multiple optimal solutions, deduce the general optimal solution.
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Introduction to Operations Research
Authors: Frederick S. Hillier, Gerald J. Lieberman
10th edition
978-0072535105, 72535105, 978-1259162985
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