Utility function: Uk $=$ Ak $-0\mathrm{.}05$ Ta $-0\mathrm{.}04$ Tw $-0\mathrm{.}03$ Tr $-0\mathrm{.}014$ C $($general$)$

Parameter Private Auto Mass Transit

Ta $=$ access time $($min$.)510$

Tw $=$ waiting time $($min$.)015$

Tr $=$ riding time $($min$.)2540$

C $=$ out$-$of$-$pocket cost $($cents$)150100$

Calibration constant, Ak $-0\mathrm{.}01-0\mathrm{.}07$

Part $1)$ Determine the share of person$-$trips for each modes using the multinomial logit model and capute

answers to BB as below

a$)$ the utility of travel in the zone by auto $[$ANS$1],$ Two decimal places with sign, E$.$g$.-8,20$

b$)$ the utility of travel in the zone by bus $[$ANS$2],$ Two decimal places with sign, E$.$g$.-6,20$

c$)$ the $\%$ of travel in the zone by auto $[$ANS$3],$ answer as a decimal, two decimal places

d$)$ the $\%$ of travel in the zone by bus $[$ANS$4],$ answer as a decimal, two decimal places

Part $2)$ For the same problem in part $1$ an increase in the price of fuel has changed the out$-$of$-$pocket

costs for the auto mode to $$1,80.$ Recalculate the mode shares accordingly and capture answers to BB

as follows:

a$)$ the utility of travel in the zone by auto $[$ANS$5],$ Two decimal places with sign, E$.$g$.-8,20$

b$)$ the $\%$ of travel in the zone by auto $[$ANS$7],$ answer as a decimal, two decimal places

c$)$ the $\%$ of travel in the zone by bus $[$ANS$8],$ answer as a decimal, two decimal places

Part $3)$ After implementing service improvements to the buses in part $1,$ the mode split changed to $81\mathrm{.}6\%$

private auto use and $18\mathrm{.}4\%$ bus use. Determine a value for the calibration constant for the bus mode that

reflects this shift in mode split.

After completing your calculations in$,$ capture the following to black board:

a$)$ Determine eAuto $[$ANS$1]$; $4$ decimal places

b$)$ Determine ebus $[$ANS$2]$; $4$ decimal places

c$)$ Determine UBus $[$ANS$3]$; $4$ decimal places

d$)$ Determine AkBus$[$ANS$4]$; $4$ decimal places