The diagram shows the curve \(y = (3 - x)e^{-2x}\) and its minimum point \(M\). The curve intersects the x-axis at \(A\) and the y-axis at \(B\).

(i) Calculate the x-coordinate of \(M\).

(ii) Find the area of the region bounded by \(OA, OB\) and the curve, giving your answer in terms of \(e\).