Question $5$: Modal Split Analysis

Given the utility expression.

$U_k=A_k-0\mathrm{.}05T_a-0\mathrm{.}04T_w-0\mathrm{.}02T_r-0\mathrm{.}01C$

where $T_a$ is the access time, $T_w$ is the waiting time, $T_r$ is the riding time, and $C$ is the outof$-$pocket cost.

a$)$ Apply the logit model to calculate the shares of the automobile mode $)=\{0\mathrm{.}005$ and a mass$-$transit mode $)=(-0\mathrm{.}05$ if

$\backslash$table$[[$Mode$,T_a,T_W,T_r,C$