ORL Lab 8 Solved

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OR- Assignment (Lab-8)

Write code to solve the following Integer programming problem by cutting plane method of Gomory. Print the input, solutions and optimized value. Your output must have all the tables. Submit your code and output file for each question separately.

  1. Min Z = 2x1 + 15x2 + 18x3 subject to

x1 + 2x2 − 6x3 ≤−10 x2 + 2x3 ≤ 6

2x1 + 10x3 ≤ 19 −x1 + x2 ≤−2 x1,x2,x3 ≥ 0.

  1. Max Z = 3x1 + 4x2 subject to

3x1 x2 ≤ 12

3x1 + 11x2 ≤ 66 x1,x2 ≥ 0.

  1. Max Z = x1 + x2 subject to

2x2 ≤ 7 x1 + x2 ≤ 7

2x1 ≤ 11 x1,x2 ≥ 0.

  1. Max Z = 7x1 + 9x2 subject to

x1 + 3x2 ≤ 6

7x1 + x2 ≤ 35 x1,x2 ≥ 0.

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