Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Question
Chapter 13, Problem 5P
To determine
The net user benefits per year as per the given situation.
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Students have asked these similar questions
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
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?
A household has 17 members and an annual income of P20,000. They currently live in a
neighborhood with 550 retail employees, but are moving to a new home in a
neighborhood with 150 retail employees. Calculate the additional vehicle-based peak-
hour shopping trips the household makes before and after the move.
Use:
Vehicle-based Shopping Trips = 0.12 + 0.09HS + 0.011AHI - 0.15EH
HS - household size
AHI - annual household income in thousand pesos
EH - employment in household's neighborhood in hundreds
Note:
use two decimal places
Chapter 13 Solutions
Traffic and Highway Engineering
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Similar questions
- 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_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_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 C is the cost/vehicle in cents. The demand for travel across the bridge is V = 2500 - 10C.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_forwardBuses are to be charted for an excursion. The bus company charges $20.00 per ticket if not more than 200 passengers go with the trip. However, the company agrees to reduce the price of every ticket $0.05 for each passenger in excess of 200 passengers. What number of passengers will produce the maximum gross income?arrow_forwardConsideration 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?arrow_forward
- 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_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_forwardDuring morning peak hour, the passenger demand is 600. Assume that passenger demand is evenly distributed within that period and the average load/occupancy is 50 passengers per bus. Calculate the average headway of a city buses? If the passenger demand increases to be 750, calculate the number of bus units need to be added and the headway shorten?arrow_forward
- The city public transportation authority manages and maintains the regular bus service. If the origin-destination (OD) trips are 10,000 person-trips per day, a) If private auto and regular bus are two irrelevant travel modes, use binary logit model to determine the fare-box revenue of the regular buses given the following utility function. uk = ak — 0.003 X₁ – 0.04 X₂ 1 where: X₁ is travel cost in cents, X₂ is travel time in minutes ak, modal constant X, (in cents) X₂ (in minutes) -0.20 120 30 Auto (A) Regular Bus (B) -0.60 30 55arrow_forwardVehicles arrive to a bridge at a rate of 24 vehicles per minute. The capacity of the bridge is typically 3000 veh/hour, but is reduced to 941 veh/hour for 12 minutes. What is the duration of the queue that forms on the bridge in minutes? Answer 15.8 minsarrow_forwardA 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.arrow_forward
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