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Given the Following Linear Programming Problem

Question 32

Essay

Given the following linear programming problem
Max Z
0.5x1 + 6x2 + 5x3
s.t.
4x1 + 6x2 + 3x3 ≤ 24
1x1 + 1.5x2 + 3x3 ≤ 12
3x1 + x2 ≤ 12
​
and the final tableau is Given the following linear programming problem Max Z 0.5x<sub>1</sub> + 6x<sub>2</sub> + 5x<sub>3</sub> s.t. 4x<sub>1</sub> + 6x<sub>2</sub> + 3x<sub>3</sub> ≤ 24 1x<sub>1</sub> + 1.5x<sub>2</sub> + 3x<sub>3</sub> ≤ 12 3x<sub>1</sub> + x<sub>2</sub> ≤ 12 ​ and 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>, b<sub>2</sub>, and b<sub>3</sub>. ​
a.Find the range of optimality for c1, c2, c3, c4, c5, and c6.
b.Find the range of feasibility for b1, b2, and b3.

Correct Answer:

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a.c1 ≤ 4
2.5 < c2 ≤ 10...

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