Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 2, Problem 5P
To determine
The new toll charge per vehicle and the traffic volume after the toll increase.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Consideration is being given to increasing the toll on a bridge now carrying
4500 veh/day. The current toll is $1.35/veh. It has been found from past
experience that the daily traffic volume will decrease by 400 veh/day for
each 25¢ increase in toll. Therefore, if x iš the increase in toll in cents/veh,
the volume equation for veh/day is V= 4500 - 400 (x/25), and the new
toll/veh would be T = 135 + x. In order to maximize revenues, what would
the new toll charge be per vehicle, and what would the traffic in veh/day
be after the toll increase?
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 increase in toll charge
(c) Determine the new toll charge to maximize revenues.
(d) Determine traffic in veh/day after toll increase.
(e) Determine total revenue increase with new toll.
7. A toll bridge from Manila to Lapu-Lapu City carries 4000 vehicles
per day. The present toll fee is P2.30. When the toll fee is increased by
PO.20, traffic volume will decrease by 400 vehicles per day. It is
desired to increase the toll fee to a point where revenue will be
maximized. Determine the toll change to maximize revenue.
Chapter 2 Solutions
Traffic and Highway Engineering
Knowledge Booster
Similar questions
- 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.arrow_forwardThe 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?arrow_forwardA bridge has been constructed between the mainland and an island. The total cost (excluding tolls) to travel across the bridge is expressed as C- 50 + 0.5V, where V is the number of veh/hr and Cis the cost/vehicle in cents. The demand for travel across the bridge is V- 2500 - 10C. (a) Determine the volume of traffic across the bridge. (b) If a toll of 25 cents is added, what is the volume across the bridge? What volume would be expected with a 50 cent increase? 155 (c) A tollbooth is to be added, thus reducing the travel time to cross the bridge. The new cost function is C- 50 + 0.2V. Determine the volume of traffic that would cross the bridge. (d) Determine the toll to yield the highest revenue for demand and supply function in part (a), and the associated demand and revenuearrow_forward
- Question. 2Propagation speed of 45 km/hr and that each toll booth takes 6 seconds to service a car.Suppose the caravan of 10 cars begins immediately in front of the first toll booth, travels 20 km to a second toll booth, then another 40 km to a third toll booth, and finally stops immediately after the third tool booth. Thus, they travel a total of 60 km. What is the total end to-end delay?arrow_forwardAn 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.arrow_forwardA 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.arrow_forward
- 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?arrow_forwardOn 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.arrow_forwardAverage demand on a rural roadway ranges from zero to 600 veh/day when the cost per trip goes from $1.75 to zero. (a) Calculate the net user benefits per year (in dollars) if the cost decreases from $1.50 to $0.75/trip (assume a linear demand function). $ 29 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results roundoff error. (b) Compare the value calculated in (a) with the benefits as calculated in typical highway studies. (Enter the benefits in dollars as calculated in typical highway studies.) $ 88000 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results E roundoff error.arrow_forward
- The French autoroute network is composed of toll motorways with entrances marked as such. A motorist entering the network obtains a ticket from a toll booth and pays a toll when leaving the motorway. Given the number of vehicles traveling these routes, congestion at both entrances and exits is common. Suppose that four groups, each of 50 motorists, use an autoroute. The price each group is willing to pay, v, differs among groups and falls as the amount of congestion, c, increases in the following way: vij=vimax-cj; i, j = 0,..., 3, where vi max = 0.4-0.1 * i euros per kilometer is the maximum group i is willing to pay to use the motorway and cj = 0.06 * j euros per kilometer is the loss in value as more groups use it. The marginal cost of using the autoroute, not including the marginal cost of congestion, is zero. a. If the toll charged for using the autoroute equals a motorist's marginal private cost-the price in a competitive market-how many vehicles per minute will use it? Which…arrow_forwardNote: Read the question carefully and give me BOTH right solutions with clear calculations. Vehicles begin to arrive at a toll booth at 5 vehicles per minute from 7 AM to 8 AM. The booth opens at 7:15 AM and services at a rate of 3 vehicles per minute until 7:45 AM. From 7:45 AM until 8 AM the service rate is 6 vehicles per minute. Assuming D/D/1 queuing, (A) have all vehicles that arrived between 7AM and 8AM exited the queue? and (B) what is the total vehicle delay while the queue exists?arrow_forwardA toll bridge carries 6000 vch/day The current toll is $3.50/vehicle. Studies have shown hat for each increase in toll of 50 cents, the traffic volume will decrease by 500 veh/day. Jus desired to increase the toll to a point where revenue will be maximized. (a) Write the expression for travel demand on the bridge, related to toll increase and current volume. (b) Determine the toll charge to maximize revenbes. (o Determine traffic in vel/day after the loll increase, (d) Determine the total revente increase with the new tol.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning