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 ​
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.

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