Mathematics > vectors-and-linear-programming > Linear Programming

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.

$P \equiv (\frac{3}{13}, \frac{24}{13})$, $Q \equiv (\frac{3}{2}, \frac{15}{4})$, $R \equiv (\frac{7}{2}, \frac{3}{4})$, $S \equiv (\frac{18}{7}, \frac{2}{7})$

Which of the following statements is correct?