In Problems 13-20, (A) Form the dual problem. (B) Find the solution to the original problem by applying the simplex method to the dual problem. Minimize C = 9 x 1 + 2 x 2 subject to 4 x 1 + x 2 ≥ 13 3 x 1 + x 2 ≥ 12 x 1 , x 2 ≥ 0
In Problems 13-20, (A) Form the dual problem. (B) Find the solution to the original problem by applying the simplex method to the dual problem. Minimize C = 9 x 1 + 2 x 2 subject to 4 x 1 + x 2 ≥ 13 3 x 1 + x 2 ≥ 12 x 1 , x 2 ≥ 0
Solution Summary: The author explains how to determine the dual of the minimization problem.
Consider the following problem:
Maximize Z= 2x1 - x2 + X3,
subject to
x2 + 3x3 0, X3 2 0.
Work through the simplex method step by step in tabular form to solve the problem. Please
show your tabular form in each iteration and show your optimal solution.
Solve the following problem by using the Simplex approach:
Maximize Z = 4X1 – 6X2
Subject to:
3X1 + 2X2 > 6
2X1 + X2 < 2
3X1 – 2X2 < 4
all variables > 0
When deleting a basic variable xBr from the simplex tableau, would it be possible to make xBr nonbasic by pivoting on any non-zero element in row r? What difficulties one might encounter with this approach?
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