ORL Lab 7 Solved

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OR-Lab 7 (24.02.2021)

Problem 1: –

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

Problem 2:-

Test the following numerical problems using your code.

  • MAX Z = 5×1 + 10×2 + 8×3

subject to

3×1 + 5×2 + 2×3 ≤ 60
4×1 + 4×2 + 4×3 ≤ 72

2×1 + 4×2 + 5×3 ≤ 100

and x1,x2,x3 ≥ 0

  • MAX Z = 4×1 + 3×2

subject to

2×1 + x2 ≤ 1000

x1 + x2 ≤ 800

x1 ≤ 400
x2 ≤ 700

and x1,x2 ≥ 0

  • MAX Z = 3×1 + 3×2 + 2×3 + x4

subject to

2×1 + 2×2 + 5×3 + x4 ≤ 12

3×1 + 3×2 + 4×3 ≤ 11

and x1,x2,x3,x4 ≥0

  1. D) MAX Z = 3×1 + 5×2 + 4×3

subject to

2×1 + 3×2 ≤ 8

2×2 + 5×3 ≤ 10

3×1 + 2×2 + 4×3 ≤ 15

and x1,x2,x3 ≥ 0

(E)  MIN Z = 3×1 + 3×2 + 2×3 – x4

subject to

2×1 + 2×2 + 5×3 + x4  ≥ 43

3×1 – 3×2 + 4×3  ≥  11

4×1 – 2×2 + 3×3 – x4  ≥ 25

and x1,x2,x3,x4 ≥ 0