A plane with equation $\frac{x}{a}+ \frac{y}{b}+ \frac{z}{c}=1$ $(a, b, c >0)$
together with the positive coordinate planes forms a tetrahedron of volume $V=\frac16 abc$ (as shown in the Figure below)

Find the plane that minimizes $V$ if the plane is constrained to pass through a point $P = (2,6,2)$ .

The plane $=1$