ISYE 323
University Of Minnesota - Twin Cities
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ISyE323: Operations Research—Deterministic Models Problem Set #9 Due: December 5 with complete answers
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ISyE323: Operations Research—Deterministic Models 
Problem Set #9 Due: December 5 
The homework answers should be brought to class on 12/5. There will not be a quiz associated with 
this homework 
Deliverables: 
• Writeup (on paper) for each problem 
1 Unbounded LP 
1-1 Problem Using the simplex method show that the following linear program is unbounded. 
max 2x1 − 3x2 − x3 
s.t.x2 − x3 ≤ 6 
−x1 − x3 ≤ 10 
x1, x2 ≥ 0 
x3 free 
Answer: 
Since x3 is free, we need to do the subs...
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