Consider the following LP model: Maximize z = 3x1 + 2x2 + 5x3 Subject to X1 +

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Consider the following LP model:

Maximize z = 3x1 + 2x2 + 5x3

Subject to

X1 + 2x2 + x3 + x4 = 30

3x1 + 2x3 + x5 = 60

X1 + 4x2 + x6 = 20

X1, x2, x3, x4, x5, x6 ≥ 0

Check the optimality and feasibility basic solutions:

(a) Basic variables = (x4, x3, x6), Inverse = to 1. ーIN-IN

(b) Basic variable = (x2, x3, x1), Inverse = 

(c) Basic variable = (x2, x3, x6), Inverse = 

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