An analyst is assessing a DM's utility function for annual total vehicle travel time

ann, 6 TVTT , in units of [10

veh-hrs], ranging from 0 to 20, and wishes to use a function:

20 ann ( )=( 20 ), 0<tvtt <20

The analyst has determined that the DM is indifferent between Alternative A and Alternative B:

Alternative A: Probability 0.3 of incurring 0 [106 veh-hrs] Probability 0.7 of incurring 20 [106 veh-hrs]

Alternative B: Probability 1.0 of incurring 5 [106 veh-hrs] What would you use for the DM's utility function? Show your work.