A logit mode choice model has the following linear disutility equation for the difference between auto and bus utilities of: (10 points)

ΔU=-0.016ΔCost-0.090ΔIVT-0.0160ΔOVT+1.943A-1.22

Where ΔIVT = in-vehicle travel time difference (minutes) (auto-bus)

ΔOVT= out-of-vehicle time difference (minutes) (auto-bus)

ΔCost= auto cost – bus cost (in cents)

A = number of autos owned by individual traveler.

a) What is the implied values of travel time in ($/hr) for in-vehicle travel time and for out-of-vehicle travel time?

b) Given P(bus)=1/(1+e^ΔU), what is the probability of using the bus for tripmakers with zero, one, and two autos if ΔCost, ΔIVT, and ΔOVT all equal zero?