Assuming the relative utility for taking a car or bus is given by the following equation:

$U_{\text{i}\text{j}\text{k}}=2-1\mathrm{.}5$ TravelTime $-1\mathrm{.}2$ TravelCost

Predict the number of car trips taken between each zone from the results of question $2,$ and travel time$/$cost matrices presented below.

$\backslash$table$[[$Travel Time: Bus,Travel Cost: Bus$],[,$Zone $1,$Zone $2,$Zone $3,$Zone $4,,$Zone $1,$Zone $2,$Zone $3,$Zone $4],[$Zone $1,7,15,19,25,$Zone $1,2,3,3,4],[$Zone $2,15,2,5,14,$Zone $2,3,2,3,3],[$Zone $3,19,5,7,11,$Zone $3,3,3,2,3],[$Zone $4,25,14,11,7,$Zone $4,4,3,3,2],[$Travel Time: Car,Travel Cost: Car$],[,$Zone $1,$Zone $2,$Zone $3,$Zone $4,,$Zone $1,$Zone $2,$Zone $3,$Zone $4],[$Zone $1,5,12,16,20,$Zone $1,2\mathrm{.}5,4\mathrm{.}5,5\mathrm{.}9,6\mathrm{.}9],[$Zone $2,12,1,4,10,$Zone $2,4\mathrm{.}5,2\mathrm{.}4,4\mathrm{.}3,6\mathrm{.}2],[$Zone $3,16,4,6,8,$Zone $3,5\mathrm{.}9,4\mathrm{.}3,2\mathrm{.}9,6\mathrm{.}1],[$Zone $4,20,10,8,5,$Zone $4,6\mathrm{.}9,6\mathrm{.}2,6\mathrm{.}1,2\mathrm{.}3]]$