(a)
The expression for travel demand on the bridge related to toll increase and current volume.
Answer to Problem 4P
The expression for travel demand on the bridge related to toll increase and current volume is
Explanation of Solution
Given:
A toll bridge carries
The current toll is
For each increase in toll of
Concept used:
Write the relation between traffic volume and cost.
Here,
Calculations:
Substitute
Conclusion:
Therefore, the expression for travel demand on the bridge related to toll increase and current volume is
(b)
The toll charge to maximize revenue.
Answer to Problem 4P
The toll charge to maximize the revenue is
Explanation of Solution
Write the expression to calculate the total toll charge.
Here,
Write the expression to calculate the revenue generated.
Here,
Calculations:
Calculate the total toll charge.
Substitute
Calculate volume of traffic expected for a 50 cent increase.
Substitute
For maximum value, calculate the first derivative of above equation and equate to zero.
Substitute
Conclusion:
Therefore, the toll charge to maximize revenue is
(c)
The traffic volume after toll increase.
Answer to Problem 4P
The traffic volume after toll increase is
Explanation of Solution
Calculations:
Calculate the traffic volume after toll increase.
Consider the expression for travel demand on the bridge related to toll increase and current volume.
Substitute
Conclusion:
Therefore, the traffic volume after toll increase is
(d)
The total revenue increase with new toll.
Answer to Problem 4P
The total revenue increase with new toll is
Explanation of Solution
Calculations:
Substitute
Conclusion:
Therefore, the total revenue increase with new toll is
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Chapter 2 Solutions
Traffic and Highway Engineering
- 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.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_forward7. 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_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_forwardA 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.arrow_forward1A toll bridge carries 10.000 veh/day. The current toll is PI50/vehicle. Stodies shown that for each ancrease in toot25, the traffic volume will decrease by 1000 veh daycedesired to ncrease the toll to a pocnt where revenue will be maximized. Write the expression for travel demand on the bridge related to toll increase and current yolume, Determame the toll chargc to maximıze revenues. Determine tmic in veh day after toll increase. Duermincshelutal revenue increase with new tallarrow_forward
- (show your solutions) Compute for the Total Remaining Traffic * A.15,858 vehicles B.15,743 vehicles C.15,862 vehicles D.15,750 vehicles E.None of the abovearrow_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_forwardA city engineer has estimated the annual toll revenues from a proposed highway construction project over 20 years as follows: An = ($2,000,000)(n)(l.06)n-1 n = 1.2 .... ,20.To determine the amount of debt financing through bonds, the engineer was asked to present the estimated total present value of toll revenue at an interest rate of 6%. Assuming annual compounding, find the present value of the estimated toll revenue.arrow_forward
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- Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning