A mode choice logit model is to be developed based on the following information. A surve...

A mode choice logit model is to be developed based on the following information. A survey of travelers in an area with bus service found the following data:

The following utility function was calibrated based on an observed mode split of 84.9% private auto use and 15.1% bus use.

After implementing service improvements to the buses, the mode split changed to 81.6% private auto use and 18.4 percent bus use. Determine a value for the calibration constant for the bus mode that reflects this shift in mode split.