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For the Following Linear Programming Problem

Question 30

Essay

For the following linear programming problem
Max Z
−2x1 + x2 − x3
s.t.
2x1 + x2 ≤ 7
1x1 + x2 + x3 ≥ 4

the final tableau is For the following linear programming problem Max Z −2x<sub>1</sub> + x<sub>2</sub> − x<sub>3</sub> s.t. 2x<sub>1</sub> + x<sub>2</sub> ≤ 7 1x<sub>1</sub> + x<sub>2</sub> + x<sub>3</sub> ≥ 4 ​ the final tableau is   ​  a.Find the range of optimality for c<sub>1</sub>, c<sub>2</sub> , c<sub>3</sub>. c<sub>4</sub>, c<sub>5</sub> , and c<sub>6</sub>. b.Find the range of feasibility for b<sub>1</sub>, and b<sub>2</sub>.
a.Find the range of optimality for c1, c2 , c3. c4, c5 , and c6.
b.Find the range of feasibility for b1, and b2.

Correct Answer:

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a.c1 ≤ 2
0 ≤ c2
c3 ≤ 0
...

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