4.Consider the following data table for a commuter making a modal choice between auto, bus and fixed rail in the town of Bigville. The commuter's wage is $12/hour or $.20/minute.Notice the calculations here suggest that auto will be the chosen mode.

a.How much of a reduction in line-haul time would be necessary to make fixed rail the chosen mode?

b.Is there a fare reduction that can make bus the chosen mode?If so how much would it be?

c.How much of an increase in parking fees would be necessary to make auto no longer the chosen mode?Which mode would now be chosen?

d.What happens to the modal choice if the rider has a wage of only $9 per hour?

Modal Choice Auto Bus Fixed Rail Collection time 0 10 15 Cost / minute .3 = 1.5 * wage .3 .3 Collection cost 0 3.00 4.50 Line-haul time 40 50 30 Cost / minute 10 = .5 * wage 10 10 Line-haul cost 4,00 5.00 3.00 Distribution time 0 5 9 Cost / minute .3 .3 Distribution cost 0 1.50 2.70 Total time costs 4.00 9.50 10.20 Monetary costs Operating cost or fare 2.00 1.00 1.50 Parking 3.00 0 0 Total $9.00 $10.50 $11.70