Consideration is being given to increasing the toll on a bridge now carrying4500 veh/day. The current toll is $1.35/veh. It has been found from pastexperience that the daily traffic volume will decrease by 400 veh/day foreach 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 newtoll/veh would be T = 135 + x. In order to maximize revenues, what wouldthe new toll charge be per vehicle, and what would the traffic in veh/daybe after the toll increase?

given- traffic volume equation for a bridge required-to find maximum revenues from the new toll…

Answered: toll/veh would be T = 135 + x. In order…

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?

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 5P

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Question

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?

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help pls
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?
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.
Subject: Transportation engineering
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.
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A 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 revenue
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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.
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