Although answer is trivial. But in complex question in such category could be solved by drawing appropriate graph.

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$X_1 ≥ 0\quad \to (1)$

$X_2 ≥ 0\quad \to (2)$

$X_1 + X_2 ≤ 10\quad \to (3)$

$2X_1 + 2X_2 ≥ 22 \quad \to(4)$

Now the equation $(4)$ can be written as

$X_1 + X_2 ≥ 11 \quad \to (5)$

Now, equations $(3)$ and $(5)$ cannot hold true together since $X_1 ≥ 0$ and $X_2 ≥ 0.$

Hence, system of inequalities can never be satisfied.

**Answer A. **$0$

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