The line \(y=2x+1\) intersects the curve \(xy=14-2y\) at the points \(P\) and \(Q\). The midpoint of \(PQ\) is \(M\).

(i) Show that the point \(\left(-10,\dfrac{23}{8}\right)\) lies on the perpendicular bisector of \(PQ\).

(ii) The line \(PQ\) intersects the \(y\)-axis at \(R\). The perpendicular bisector of \(PQ\) intersects the \(y\)-axis at \(S\). Find the area of triangle \(RSM\).