Use the Big M method to solve the following LPs: $[$ min z$=4$ x $1+4$ x $2+$x $3$; s$.$t$.$ x $1+$x $2+$x $3<=2$; $2$ x $1+$x $2<=3$; $2$ x $1+$x $2+3$ x $3<=3$; x $1,$ x $2,$ x $3>=0]$