# Question: Consider the original form before augmenting of a linear programming

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 false, and then justify your answer with specific references (including page citations) to material in the chapter.

## Relevant Questions

Construct the dual problem for each of the following linear programming models fitting our standard form. (a) Model in Prob. 3.1-6 (b) Model in Prob. 4.7-5 For any linear programming problem in our standard form and its dual problem, label each of the following statements as true or false and then justify your answer. (a) The sum of the number of functional constraints and the ...Consider the following problem. Maximize Z = 2x1 – 4x2, Subject to x1 – x2 ≤ 1 and x1 ≥ 0, x2 ≥ 0. Consider the following problem. Minimize Z = x1 + 2x2, Subject to And x1 ≥ 0, x2 ≥ 0. (a) Construct the dual problem. Consider the following problem. Maximize Z = 2x1 + 6x2 + 9x3, Subject to and x1 ≥ 0, x2 ≥ 0, x3 ≥ 0. (a) Construct the dual problem for this primal problem.Post your question