The PA trip table in a four$-$zone network is given below:

The utility functions for auto and transit modes are defined as follows:

Auto Utility Equation: $U_A=-0\mathrm{.}028($IVT$)-0\mathrm{.}055(OVT)-0\mathrm{.}0022($COST$)$

Transit Utility Equation: $U_B=-0\mathrm{.}028($IVT$)-0\mathrm{.}055(OVT)-0\mathrm{.}10($WAIT$)-0\mathrm{.}20(xFER)-$

COST$)$

Note: IVT$=$In$-$Vehicle Travel Time, OVT$=$Out$-$of$-$Vehicle Travel Time, XFER$=$Transfer Time

The data for each PA pair are:

Calculate the utility for each mode and each PA pair using binomial logit model.