Question: Show algebraically that all the basic solutions of the following LP are infeasible. Maximize z = x1 + x2 Subject to X1 + 2x2

Show algebraically that all the basic solutions of the following LP are infeasible.
Maximize z = x1 + x2
Subject to
X1 + 2x2 ≤ 6
2x1 + x2 ≤ 16
X1, x2 ≥ 0

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