For a Linear Programming Problem (LPP), the given objective function is Z = x +2 y. The feasible region PQRS determined by the set of constraints is…

For a Linear Programming Problem (LPP), the given objective function is $\displaystyle \mathrm{Z}=\mathrm{x}+2 \mathrm{y}$. The feasible region PQRS determined by the set of constraints is shown as a shaded region in the graph. (Note : The figure is not to scale) \[\mathrm{P} \equiv\left(\frac{3}{13}, \frac{24}{13}\right), \mathrm{Q} \equiv\left(\frac{3}{2}, \frac{15}{4}\right), \mathrm{R} \equiv\left(\frac{7}{2}, \frac{3}{4}\right), \mathrm{S} \equiv\left(\frac{18}{7}, \frac{2}{7}\right) \] Which of the following statements is correct?