Question

A simple work-mode-choice model is estimated from data in a small urban area to determine the probabilities of individual travelers selecting various modes. The mode choices include automobile drive-alone (DL), automobile shared-ride (SR) and bus (B), and the utility functions are estimated as UDL 2.2-0.2(costo0.03(travel timenL USR Q.80.2(costsR)0.03(travel timesR) U3 0.2(cost) _ 0.01 (travel time where cost is in dollars and time is in minutes Between a residential area and an industrial complex, 5000 workers depart for work during the peak hour. The cost of driving an automobile is $5.00 with a travel time of 20 minutes, and the bus fare is 50 cents with a travel time of 20 minutes. If the shared-ride option always consisted of two travelers sharing costs equally, how many workers will take each mode?

Answer 1

Vven mab - 2.2 - 0.2 CCo9v gR)-0.03 (toove)や ngsa) : 20 min ちVOL- 2-2-0. 2 ( s)-o.03 (20) = 0. ク USR- o-8-oz (2.5)-003 20)= -0. 222, 0.55152- -O.2 SR -0-3 8 o.6 03 o

sooo Co.s5 | 52): 27574 う 2158 drsuina 5000 Co. 22-40): 1 1 20