The number of solutions for the following system of inequalities is
$X_1 ≥ 0\quad \to (1)$ $X_2 ≥ 0\quad \to (2)$ $X_1 + X_2 ≤ 10\quad \to (3)$ $2X_1 + 2X_2 ≥ 22 \quad \to(4)$
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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