A toll bridge carries 10,000 veh/day. The current toll is $3.00/vehicle. Studies have shown that for each increase in toll of 50 cents, the traffic volume will decrease by 1000 veh/day. It is desired to increase the toll to a point where revenue will be maximized. Let V be the Volume X be the increase in toll charge (a) Write the expression for travel demand on the bridge related to toll increase and current volume. (b) Determine the

A toll bridge carries 10,000 veh/day. The current toll is $3.00/vehicle. Studies have shown that for each increase in toll of 50 cents, the traffic volume will decrease by 1000 veh/day. It is desired to increase the toll to a point where revenue will be maximized. Let V be the Volume X be the increase in toll charge (a) Write the expression for travel demand on the bridge related to toll increase and current volume. (b) Determine the

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter2: Transportation Systems And Organizations

Section: Chapter Questions

Problem 4P

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A toll bridge carries 10,000 veh/day. The current toll is ₱150/vehicle. Studies shown that for eachincrease in toll of ₱25, the traffic volume will decrease by 1000 veh/day. It is desired to increasethe toll to a point where revenue will be maximized.a. Write the expression for travel demand on the bridge related to toll increase and currentvolume. b. Determine the toll charge to maximize revenues. c. Determine traffic in veh/day after toll increase. d. Determine the total revenue increase with new toll.
A toll bridge carries 5000 veh/day. the current tol is 50 cents. When the toll is increased by P0. 25. Traffic volume decreases by 5000 veh/day. Det. the additional amount of toll that should be charged such that the revenue is maximized.
An existing toll road has an average traffic volume around 6,000 vehicles per day. A project is proposed to widen the toll road to increase the road capacity. It is projected that the traffic volume would increase to 10,000 vehicles if the toll rate is reduced from $5 to $4 per vehicle. Assume that the toll rate is the only factor affecting the traffic volume on the toll road. a) Determine the impact of the toll change on consumer surplus. b) Calculate the point elasticity of demand for the toll road. c) Calculate the arc elasticity of demand for the toll road.
(show your formula) Given the figure above, compute for the Annual Average Daily Traffic of the Motorcycle: * a.233 B.181 C.None of the above D.228 E.183
The demand and supply function for a bridge are the following where C is cost in cents and V is volume in veh / h . Demand V = 1500 - 10C Supply or cost function: C = 120 + 0.5V (a) What is the equilibrium volume of traffic and the associated cost? (b) 20 cents of toll is added to the cost function, what will be the new cost function and the equilibrium volume?
Two routes connect a city and suburb. During the peak-hour morning commute, a total of 5000 vehicles travel from the suburb to the city. Route 1 has a 50km/hr speed limit and 5km in length, Route 2 has a 55km/hr speed limit and 4 km in length. Studies show that the total travel time on route 1 increases 2 mins for every extra 500 vehicles added. Mins of travel time on route 2 increase with the square of the no. of vehicles expressed in 000’s. Determine user equilibrium travel times.
Vehicles arrive at a toll system at random at an average rate of 15 vehicles per minute. If there are 2 toll booths each at random at an average of 6 seconds after services are done for every vehicle at the toll system. Calculate the following:1.1 Average length of queue of vehicles1.2. Average waiting time in a queue1.3. Average time spent in a queue1.4. If one toll ticket booth is closed and service time is reduced by 4 seconds, what are the queuing characteristics of the system? And plot the arrival distribution curve for this traffic condition
Grab taxis arrive at the Manila International Airport , according to a Poisson process, at the rate of 10 per hour. a. What is the probability that exactly 5 taxis arrive during a 1-hour period? b. If we define a working day as 12 hours, what is the probability that at least 50 taxis arrive during a working day? c. What is the probability that at least 5 arrive during a 1-hour period? Kindly provide a complete solution in 3 decimal points.
Vehicles arrive at a toll system at random at an average rate of 15 vehicles per minute. If there are 2 toll booths each at random at an average of 6 seconds after services are done for every vehicle at the toll system. Calculate the following: 5.1 Average length of queue of vehicles5.2. Average waiting time in a queue5.3. Average time spent in a queue5.4. If one toll ticket booth is closed and service time is reduced by 4 seconds, what are the system’s Q, W and T? And plot the arrival distribution curve for this traffic condition
A student records the number of vehicles that pass through a toll road lane, as shown in the following list Calculate: (a) what is the volume of vehicles per hour?
On a highway, we know that on average 260 cars arrive at a toll booth in one hour. If we admit that thenumber of cars arriving at this toll station follows a lawPoisson, calculate the probability that there are less than fourarrived within a minute.
A student records the number of vehicles that pass through a toll road lane, as shown in the following list Calculate: (b) what is the busiest current rate for each 5 minute period?