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Which one of the options given represents the feasible region of the linear programming model:
$$
\begin{gathered}
\text { Maximize } 45 X_1+60 X_2 \\
X_1 \leq 45 \\
X_2 \leq 50 \\
10 X_1+10 X_2 \geq 600 \\
25 X_1+5 X_2 \leq 750
\end{gathered}
$$

  1. Region  $\mathrm{P}$
  2. Region $\mathrm{Q}$
  3. Region  $\mathrm{R}$
  4. Region  $\mathrm{S}$
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