Question: Iterate the initial Simplex Tableau for this problem using the Simplex Method until Optimal. Maximize : 4X 1 + 2X 2 4X 1 + 2X

Iterate the initial Simplex Tableau for this problem using the Simplex Method until Optimal.

Maximize:

4X1 + 2X2 4X1 + 2X2 + 0S1 + 0S2 + MA1 + MA2 + MA3

Subject to:

3X1 + 2X2 8 3X1 + 2X2 + S1 = 0

-4X1 + 3X2 >= -7 4X1 - 3X2 - S2 + A1 = 7

7X1 + 14X2 = 14 7X1 + 14X2 + A2 - A3 = 14

X1 , X2 >= 0 X1 , X2 , S1 , S2 , A1 , A2 , A3 >= 0

CJ 4 2 0 0 M M M
CB Basic Variable X1 X2 S1 S2 A1 A2 A3 RHS Ratio
0 S1 3 2 1 0 0 0 0 8
M A1 4 -3 0 -1 1 0 0 7
M A2 7 14 0 0 0 1 -1 14
ZJ 3M 17M 0 -M M M -M 21M
CJ-ZJ 4-3M 2-17M 0 M 0 0 2M

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