[SOLVED] ORL-Lab 6

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Class 6

Make a menu driven program using Two Phase Simplex/ Dual Simplex with the following options (a) initial table (b) List of basic & non-basic variables for ith iteration (c) table of ith iteration (f) optimal solution (if exists otherwise generate report for infeasibility, unboundedness, alternative optimum etc.)

1.     Minimize 20 16 ,     Subject to  2.5,   6, 2

17,                       12,        , 0.

2.     Minimize 4 8 3 ,       Subject to 2, 2 5, , , , 0.

3.     Maximize 15 6 9 2 ,           Subject to 10       5 25

3             50, 12      4 12   48, 7  35,      ,           ,           , 0.

4.     Maximize 5 2 3 ,      Subject to 2          2         2,

3             4     3                     ,           3         3,        ,           , 0.

5.     Max z = 2×1 + 3×2 + x3, Subject to x1 + x2 + x3 ≤ 40 ,

2×1 + x2 − x3 ≥ 10 ,,−x2 + x3 ≥ 10; x1, x2, x3 ≥ 0

6.     Max Z = 5×1 + 8×2, Subject to 3×1 + 2×2 ≥ 3,×1 + 4×2 ≥ 4, x1 + x2 ≤ 5; x1 ≥ 0, x2 ≥ 0