Final Linear Programming Tableaus for Problems 3-A, 3-B, 3-C
FINAL LINEAR PROGRAMMING TABLEAU FOR PROBLEM 3-A
| Row | x0 | t12 | t22 | t32 | x1 | x2 | x3 | x4 | x5 |
| 0 | 1 | ||||||||
| 1 | 1 | ||||||||
| 2 | 1 | ||||||||
| 3 | 1 | ||||||||
| 4 | 1 | ||||||||
| 5 | 1 | ||||||||
| 6 | 1 | ||||||||
| 7 | 1 | ||||||||
| 8 | |||||||||
| 9 | |||||||||
| 10 | 1 |
| Row | t11 | t21 | t31 | s1 | s2 | s3 | s4 | = |
| 0 | -200.00 | -200.0 | -40.0 | 154.7 | 208.0 | 208b4+155b1 | ||
| 1 | 1.00 | 1.00b1 | ||||||
| 2 | -2.00 | 0 | ||||||
| 3 | 2.00 | -1.20 | -1.2b4+2b1 | |||||
| 4 | 0 | |||||||
| 5 | 1.00 | 0.80 | 4.80 | 4.8b4+.8b1 | ||||
| 6 | 0 | |||||||
| 7 | 2.00 | 1.00 | 0.15 | -1.88 | 2.86 | 2.82b4-1.88b4 | ||
| 8 | -2.00 | -0.30 | 1.76 | 1 | -4.44 | b2+1.2b4-2b1 | ||
| 9 | -1.00 | -0.80 | 1 | -4.80 | b3-4.8b4-.8b4 | |||
| 10 | b4 |
FINAL LINEAR PROGRAMMING TABLEAU FOR PROBLEM 3-B
| Row | x0 | t12 | t22 | t32 | x1 | x2 | x3 | x4 | x5 |
| 0 | 1 | ||||||||
| 1 | 1 | ||||||||
| 2 | 1 | ||||||||
| 3 | 1 | ||||||||
| 4 | 1 | ||||||||
| 5 | 1 | ||||||||
| 6 | 1 | ||||||||
| 7 | |||||||||
| 8 | 1 | ||||||||
| 9 | |||||||||
| 10 | 1 |
| Row | t11 | t21 | t31 | s1 | s2 | s3 | s4 | = |
| 0 | -45.0 | -200.0 | -40.0 | 77.73 | 300.8 | 301b4+77.3b2 | ||
| 1 | 0.99 | 0.50 | 0.60 | 0.6b4+0.5b2 | ||||
| 2 | 1.00 | 0 | ||||||
| 3 | 1.00 | 1.00b2 | ||||||
| 4 | 1.00 | 0 | ||||||
| 5 | 0.80 | 1.00 | 0.40 | 5.28 | 5.28b4+0.4b2 | |||
| 6 | 1.00 | |||||||
| 7 | -1.00 | 1 | -0.50 | -0.60 | b1.6b4-.5b2 | |||
| 8 | 0.12 | 1.00 | 0.15 | -0.94 | 1.69 | 1.692b4-.94b2 | ||
| 9 | -0.80 | -1.00 | -0.40 | 1 | -5.28 | b3-5.28b4-.4b2 | ||
| 10 | 1.00 | b4 |
FINAL LINEAR PROGRAMMING TABLEAU FOR PROBLEM 3-C
| Row | x0 | t12 | t22 | t32 | x1 | x2 | x3 | x4 | x5 |
| 0 | 1 | 51.07 | |||||||
| 1 | 1 | 0.43 | |||||||
| 2 | 1 | ||||||||
| 3 | 1 | 0.93 | |||||||
| 4 | 1 | ||||||||
| 5 | 1 | ||||||||
| 6 | 1 | ||||||||
| 7 | -0.43 | ||||||||
| 8 | -0.93 | ||||||||
| 9 | 0.07 | ||||||||
| 10 | 1 | -0.07 |
| Row | t11 | t21 | t31 | s1 | s2 | s3 | s4 | = |
| 0 | -97.89 | -148.92 | -105.93 | 73.33 | 73.33b3 | |||
| 1 | 0.85 | 0.43 | -0.19 | 0.25 | 0.25b3 | |||
| 2 | 1.00 | 0 | ||||||
| 3 | -0.13 | 0.93 | -0.16 | 0.30 | 0.30b3 | |||
| 4 | 1.00 | 0 | ||||||
| 5 | 1.00 | 1.00b3 | ||||||
| 6 | 1.00 | 0 | ||||||
| 7 | -0.85 | -0.43 | 0.19 | 1 | -0.25 | b1-0.25b3 | ||
| 8 | 0.13 | -0.93 | 1.16 | 1 | -0.30 | b2-0.30b3 | ||
| 9 | 0.14 | 0.07 | 0.18 | -0.17 | 1 | b4-0.17b3 | ||
| 10 | -0.14 | -0.07 | -0.18 | 0.17 | 0.1667b3 |