Question: Consider the following LP model: Maximize z = 4x1 + 14x2 Subject to 2x1 + 7x2 + x3 = 21 7x1 + 2x2 + x4

Consider the following LP model:

Maximize z = 4x1 + 14x2

Subject to

2x1 + 7x2 + x3 = 21

7x1 + 2x2 + x4 = 21

X1, x2, x3, x4 ≥ 0

Check the optimality and feasibility of each of the following basic solutions.

(a) Basic variables = (x₂, x₄), Inverse = -IN AIN

(b) Basic variables = (x₂, x₃), Inverse = -IN AIN

(d) Basic variables = (x₁, x₄), Inverse =

-IN AIN

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