For a Linear Programming Problem (LPP), the given objective function is $Z = x + 2y$. The feasible region PQRS determined by the set of constraints is shown as a shaded region in the graph. $P = \left$ \frac{3}{13}, \frac{24}{13} \right$, Q = \left$ \frac{3}{2}, \frac{15}{4} \right$, R = \left$ \frac{7}{2}, \frac{3}{4} \right$, S = \left$ \frac{18}{7}, \frac{2}{7} \right$$. Which of the following statements is correct ? (A) $Z$ is minimum at $S \left$ \frac{18}{7}, \frac{2}{7} \right$$ (B) $Z$ is maximum at $R \left$ \frac{7}{2}, \frac{3}{4} \right$$ (C) (Value of $Z$ at $P$) > (Value of $Z$ at $Q$) (D) (Value of $Z$ at $Q$) < (Value of $Z$ at $R$)