Traffic And Highway Engineering
5th Edition
ISBN: 9781133605157
Author: Garber, Nicholas J., Hoel, Lester A.
Publisher: Cengage Learning,
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Question
Chapter 2, Problem 5P
To determine
The new toll charge per vehicle and the traffic volume after the toll increase.
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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?
help pls
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.
Chapter 2 Solutions
Traffic And Highway Engineering
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Similar questions
- 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.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_forwardSubject: Transportation engineeringarrow_forward
- 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_forwardHelp me please. Ill upvote, Thankyou :)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
- Help me pls. Thankyou :)arrow_forwardQuestion. 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_forward
- Help me please. Thankyou. Ill upvote :)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_forwardA 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?arrow_forward
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