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Given the Following Linear Programming Problem

Question 17

Essay

Given the following linear programming problem
Max
10x1 + 12x2
s.t.
1x1 + 2x2 ≥ 40
5x1 + 8x2 ≤ 160
1x1 + 1x2 ≤ 40
x1, x2 ≥ 0
​
the final tableau is Given the following linear programming problem Max 10x<sub>1</sub> + 12x<sub>2</sub> s.t. 1x<sub>1</sub> + 2x<sub>2</sub> ≥ 40 5x<sub>1</sub> + 8x<sub>2</sub> ≤ 160 1x<sub>1</sub> + 1x<sub>2</sub> ≤ 40 x<sub>1</sub>, x<sub>2</sub> ≥ 0 ​ the final tableau is ​ a. Find the range of optimality for c<sub>1</sub> and c<sub>2</sub>. b. Find the range of feasibility for b<sub>1</sub>, b<sub>2</sub>, and b<sub>3</sub>. c. Find the dual prices. ​
a.
Find the range of optimality for c1 and c2.
b.
Find the range of feasibility for b1, b2, and b3.
c.
Find the dual prices.

Correct Answer:

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a.7.5 ≤ c1 < ∞
−∞ <...

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