7. Consider the optimization problem below. Maximize = -2x1 + 4x2 + 23 subject to 5x1 + 22 - 323 3 6x1 212 + 4x3 ≤ 7 10, 2013 ≥0 (a) Use the simplex algorithm to show that the linear program is un- bounded (has no maximum) by identifying an unbounded vari- able. (b) *Support your answer to part (a) by finding a feasible solution where z ≥ 1300.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 34E
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7. Consider the optimization problem below.
Maximize = -2x1
+ 4x2
+
23
subject to
5x1 +
22 -
323
3
6x1
212 +
4x3
≤ 7
10,
2013 ≥0
(a) Use the simplex algorithm to show that the linear program is un-
bounded (has no maximum) by identifying an unbounded vari-
able.
(b) *Support your answer to part (a) by finding a feasible solution
where z ≥ 1300.
Transcribed Image Text:7. Consider the optimization problem below. Maximize = -2x1 + 4x2 + 23 subject to 5x1 + 22 - 323 3 6x1 212 + 4x3 ≤ 7 10, 2013 ≥0 (a) Use the simplex algorithm to show that the linear program is un- bounded (has no maximum) by identifying an unbounded vari- able. (b) *Support your answer to part (a) by finding a feasible solution where z ≥ 1300.
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