A multilane highway has two northbound lanes. Each lane has acapacity of 1500 vehicles per hour. Currently, northbound trafficis consists of 3100 vehicles with 1 occupant, 600 vehicles with 2occupants, 400 vehicle with 3 occupants, and 20 buses with 50occupants each. The highway’s performance function is
t = t0 ( 1 + 1.15 (x/c)6.87 )
where t is in minutes, t0 is equal to 15minutes, and x and c are volumes and capacities in vehicle perhour. An additional lane is being added with 1500 veh/h capacity.What will the total person hours of travel be if the lane is
(a) open to all traffic,
(b) open to vehicles with two or more occupants only, and
(c) open to vehicles with three or more occupants only? (Assumethat all qualified higher-occupancy vehicles use only the new lane,no unqualified vehicles use the new lane, and there is no modeshift.)
