$4\mathrm{.}32.$ Equilibrium Traffic Assignment with Linear LPFs$.$ There are two travel paths in use between towns A and B$.$ Path $1$ has a link performance function $t_1=1\mathrm{.}4+0\mathrm{.}8x_1,$ while Path $2\text{'}$s LPF is $t_2=3\mathrm{.}7+0\mathrm{.}3x_2,$ where $t=$ travel time $($minutes$)$ and $x=$ flow $(1000$ sph $).$ If the total flow rate between A and B is $3184$ vph $,$ what are the equilibrium flows and travel times on Paths $1$ and $2?$