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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