Consider a Poisson regression model for the number of social/recreational trips generated during peak-hour period that is estimated by BZi = - 0.75 + 0.025(Household Size) + 0.008(annual household income, in thousands of dollars) + 0.10(number of nonworking household members). Suppose a household have five members (three of whom work) and an annual income of $100,000.

If an energy crisis doubles the cost of the auto modes (drive-alone and shared-ride) and bus cost are not affected, how many workers will use each mode?

You need to recalculate the Utilities: U(dl), and U(sr) in the Example above with double cost values and recalculate the Probabilities using the new utility values

Thus:

U(dl) = 2.2-02(new cost dl) -0.03(travel time)
U(sr) = 0.8-0.2(new cost sr)-0.03(travel time)
where new cost dl = 2*cost dl
and new cost sr = 2*cost sr
Show the work.