In Problems 1-8, (A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the preliminary simplex tableau for the modified problem and the initial simplex tableau. (C) Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau. (D) Find the optimal solution of the original problem, if it exists. Maximize P = 4 x 1 + 6 x 2 subject to x 1 + x 2 ≤ 2 3 x 1 + 5 x 2 ≥ 15 x 1 , x 2 ≥ 0
In Problems 1-8, (A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the preliminary simplex tableau for the modified problem and the initial simplex tableau. (C) Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau. (D) Find the optimal solution of the original problem, if it exists. Maximize P = 4 x 1 + 6 x 2 subject to x 1 + x 2 ≤ 2 3 x 1 + 5 x 2 ≥ 15 x 1 , x 2 ≥ 0
Solution Summary: The author explains the modified problem for the linear programming problem by introducing slack, surplus, and artificial variables.
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
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