A 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.

A 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.

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 3P

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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.
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.
C) Two alternatives have been proposed to construct a new road project to improve capacity and safety. The table below explains each alternative's costs: the initial construction costs, annual operating and maintenance costs after the first year, and resurface of road costs. Assume that the annual interest rate is 5%. Determine the present worth for each alternative, then choose the preferred alternative based on the economic criteria. by present worth Alternative The initial construction costs The annual operating and maintenance costs The resurface costs Service life (years) $4.000.000 $3.900 $850,000 (Every five years) 14 $3,800,000 $4,100 $800.000 (Every four years)
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?
1. From the given data, determine the Net Present Value of a Road rehabilitation project. Number of years =5 yrs.; discounted rate = 5% (real discount rates, pesos). Year 1 2 3 4 5 Benefits 65,000 65,000 65,000 65,000 (B) Cost (C) 130,000 25,000 15,000 10,000 7,000 a) 43,797 b) 51,234 c) 48,244 d) 44,456 2. If the spot speeds are 57, 48, 65, 58, 70 and 52 Kph, find the time mean speed and space mean speed. a)55.45 b) 56.67 c) 58.33 d) 57.42 3. The following travel times were observed for five vehicles traveling on a 1 km segment of SLEX. It is required to estimate the time mean speed. Vehicle Time, min 1 1.10 2 1.15 3 1.22 4 1.32 1.12 a)48 kph b)51 kph c) 53 kph d)57 kph
2) The Company purchased a lot for P250k on which they will construct a building with 3 estimates tabulated below. Determine which alterative should be selected using Benefit Cost Analysis at 10%: Building Height 4 stories 8 stories 12 stories Cost of Building P650k P1.5M P2.4M Resale Value at the end of 30 350k 720k 1M yrs Net Annual Income 120k 250k 340k
A 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.
III. A state highway department is planning the construction of a 50 mile, four-lane toll road. It estimates that the construction cost (t = 0) will be $200M and annual maintenance costs will be $IM per year. In addition, every 20 years, a major resurfacing will have to be carried out at a cost of $25M. It is estimated that 6 million cars and 400,000 trucks will use the road cach year, and it is decided that the toll charged to a truck will be 4 times that of a car. The interest rate is 7%. I Determine what the toll should be for each car and truck to cover all expenses for a planning period of 40 years. Assume the toll being charged and the estimated traffic flows do not vary year-to-year.
A road is being proposed to facilitate a housing development on a scenic Two alternatives have been suggested. One of the roadway alignments is to go around the lake and slightly impact a wetland. The second alternative will also go around the lake and will significantly impact two wetlands. The following table shows the anticipated costs for each alternative. Assuming that the annual interest rate (i) is 7%, determine which alternative is preferred using the Net Present Value method. Alternative First Cost ($) Annual Maintenance ($) Service Life (Years) Salvage Value ($) Annual Wetland Rehabilitation Costs ($) Annual Roadway Lighting Costs ($) I 75,000 3000 15 45,000 7500 1500 II 125,000 2000 15 25,000 2500 2500
Dunkin City wants to build a new bypass between two major roads that will cut travel time for commuters. The road will cost $14,000,000 and save 17,500 people $100/yr in gas. The road will need to be resurfaced every year at a cost of $7,500. The road is expected to be used for 20 years. Determine if Dunkin City should build the road using B/C analysis. The cost of money is 8%.
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
A bridge has been constructed between the mainland and an island. The total cost (excludingtolls) to travel across the bridge is expressed as C = 50 + 0.5V, where V is the number ofveh/hr and C is the cost/veh in pesos. 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 pesos is added, what is the volume across the bridge?c. A tollbooth is to be added, thus reducing the travel time to cross the bridge. The new costfunction is C = 50 + 0.2V. Determine the volume of traffic that would cross the bridge.