Question

1. A transportation planning agency uses the following utility functions for auto and transit modes in the traffic analysis zones (TAZs) under its jurisdiction. Auto: Un-.-0.46-0.3571-0.0872-0.005C U-0.07-0.057-0.1572-0.005C Where, Ti total travel time (minutes) 7walting time (minutes) C = cost (cents) The travel characteristics between two TAZs are as follows: Auto Transit 20 8 30 6 100 C 320 As a transportation planner in the same agency, a) [10 pts] Determine the share of person-trips by each of two modes. b) [10 pts] If an increase in the price of fuel changes the out of pocket cost for the auto mode to $4.00, recalculate the mode shares.

Answer 1

Page1 Siven otiały function P‘Y Auto : 4046-0.QST6T0. uiuts Bunction for Wcost:

shove ol bips b Auto Share ( .7 -9‘7-2.91 0.12 2.91 0.9988 99.88 % A. Ao0 Cent-H Then Up shae of trips by Auto 10-2 s e = 99.92