ORL Lab 6 Solved

Description

Class 6 (17-02-2021)

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 i^th iteration (f) optimal solution (if exists otherwise generate report for infeasibility, unboundedness, alternative optimum etc.)

1. Minimize 20 16 , Subject to 5,   6, 2

17,                       12,       , 0.

2. Minimize 4 8 3 , Subject to 2, 2 5, , , , 
3. Maximize 15 6 9 2 , Subject to 10       5 25
   • 50, 12 4 12   48, 7  35,     ,           ,           , 
4. Maximize 5 2 3 , Subject to 2          2         2,
   • 4 3                     ,           3         3,        ,           , 

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

6