Integer Programming


Self Test Questions

Theory

1. What do you understand by integer programming problem?

2. Discuss the need of integer programming.

Practical

1. Maximize z = 7x1 + 9x2

subject to
-x1 + 3x2 £ 6
7x1 + x2 £ 35

where x1, x2 are integers ³ 0

2. Maximize z = x1 + 2x2

subject to
2x2 £ 7
x1 + x2 £ 7
2x1 £ 11

where x1, x2 are integers ³ 0

3. Maximize z = 2x1 + 6x2

subject to
3x1 + x2 £ 5
4x1 + 4x2 £ 9

where x1, x2 are integers ³ 0

4. Solve the following by Branch & Bound method

Maximize z = 5x1 + 9x2

subject to
-x1 + 5x2 £ 3
5x1 + 3x2 £ 27

where x1, x2 are non negative integers

 


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