Question: 5. 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.

5. 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 USR UB - = = - 2.2 0.8 0.2(costDL)-0.03 (travel timeL) 0.2(costsR)-0.03 (travel timesR) 0.2 (cost B) 0.01 (travel timeB) where cost is in dollars and travel time is in minutes. Between a residential area and an industrial complex, 4000 workers (generating vehicle-based trips) depart for work during the peak hour. For all workers, the cost of driving an automobile is $6.00 with a travel time of 20 minutes, and the bus fare is $1.00 with a travel time of 25 minutes. If the shared-ride option always consists of two travelers sharing costs equally, how many workers will take each mode?

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