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# Optimization Involving Restriction and Relaxation

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Optimization involving restriction and relaxation.
MUST include objective function!
Must do questions 1 and 2.

##### Solution Summary

The optimization involving restrictions and relaxation is determined.

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Please see the attached file(s) for the complete tutorial. Thank you for the opportunity to be of assistance and of course, the opportunity to learn as well.
Anna, 108710

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1
HOMEWORK #3
OS3211 Winter 2012
1. The linear program (LP) follows.
MAX 1 2 3 z ? 4x ? 2x ? 33x
ST:
, 0
5 9 3 (3)
9 6 15 (2)
4 12 (1)
1 2, 3
1 2
1 3
1 2 3
?
? ? ?
? ?
? ? ?
x x x
x x
x x
x x x
Circle the appropriate response for each independent modification of (LP) and provide a brief
1a) Removing constraint (1) is a relaxation, restriction, neither, can't tell.
1b) Changing constraint (1) to 4 12 1 2 3 x ? x ? x ? is a relaxation, restriction, neither, can't tell.
1c) Changing constraint (1) to 3 4 12 1 2 3 ? x ? x ? x ? is a ...

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