Question

A work‐mode choice model is developed from data acquired in the field in order 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).  The utility functions are estimated as:



where cost is in dollars and time is in minutes.  The cost of driving an automobile is $5.50 with a travel time of 21 minutes, while the bus fare is $1.25 with a travel time of 27 minutes.  

How many people will use the shared‐ride mode from a community of 5,000 workers, assuming the shared‐ride option always consists of three individuals sharing the cost equally?

U 2.6- 0.3(cost)-0.02(travel timeDL) 0.7-0.3 (costs.)-0.04( travel times) COStDL)- SR UB-0.3(costs)-0.01 (travel times)

Answer 1

Og-p3 (tostB)-Ο.oj ( Tnat! th. 1) 0.315-027 0540.5 +0. 105 5000