# Question: Each of the following statements is true under most circumstances

Each of the following statements is true under most circumstances, but not always. In each case, indicate when the statement will not be true and why.

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Consider the original form (before augmenting) of a linear programming problem with n decision variables (each with a nonnegativity constraint) and m functional constraints. Label each of the following statements as true or ...Consider the primal and dual problems in our standard form presented in matrix notation at the beginning of Sec. 6.1. Let y* denote the optimal solution for this dual problem. Suppose that b is then replaced by . Let ...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? Construct the dual problem for the linear programming problem given in Prob. 4.6-3. Consider the following problem. Maximize Z = – x1 – 2x2 – x3, Subject to and x1 ≥ 0, x2 ≥ 0, x3 ≥ 0. (a) Construct the dual problem.Post your question