Consider the model given in Prob. 5.2-2. Let x6 and x7 be the slack variables for the first and second constraints, respectively. You are given the information that x2 is the entering basic variable and x7 is the leaving basic variable for the first iteration of the simplex method and then x4 is the entering basic variable and x6 is the leaving basic variable for the second (final) iteration. Use the procedure presented in Sec. 5.4 for updating B–1 from one iteration to the next to find B–1 after the first iteration and then after the second iteration.
Answer to relevant QuestionsWork through the revised simplex method step by step to solve the model given in Prob. 4.3-4. Consider the following problem. Minimize Z = 3x1 + 2x2, Subject to and x1 ≥ 0, x2 ≥ 0. Consider the primal and dual problems in our standard form presented in matrix notation at the beginning of Sec. 6.1. Use only this definition of the dual problem for a primal problem in this form to prove each of the ...Consider the linear programming model in Prob. 4.5-4. (a) Construct the primal-dual table and the dual problem for this model. (b) What does the fact that Z is unbounded for this model imply about its dual problem? Consider the following problem. Minimize Z = x1 + 2x2, Subject to And x1 ≥ 0, x2 ≥ 0. (a) Construct the dual problem.
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