venue 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 revenues.
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A toll bridge carries 10,000 veh/day. The current toll is ₱150/vehicle. Studies shown that for each
increase in toll of ₱25, the traffic volume will decrease by 1000 veh/day. It is 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 revenues.
c. Determine traffic in veh/day after toll increase.
d. Determine the total revenue increase with new toll.
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- 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.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.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.
- 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 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.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.
- Three routes connect an origin to a destination with the following link performance functions: t_1 = 8 + 0.5 x_2 t_2 = 1 + 2x_2 t_3 = 3 + 0.75x_3 where t's in minutes and x's in thousands of vehicle per hour. If the peak-hour traffic demand is 4000 vehicles, determine the user equilibrium (UE) flows.1. Assume that the following goals have been established for a transportation planning study.Goal 1: The transportation system should provide mobility for all segments of the population.Goal 2: The transportation system should minimize the impact on the natural environment.Define at least three objectives for each goal that could be used to achieve the stated purpose. 2. From the sketch below, calculate the interzonal trips due to 450 work trips produced at zone i. There are 750 attractions at zone 1, 400 attractions at zone 2, and 300 attractions at zone 3. The exponent of travel time is 0.6 and the travel times are 9 minutes to zone 1, 5 minutes to zone 2, and 7 minutes to zone 3. Assume all socioeconomic adjustment factors and the value of C are equal to 1.0.Determine the trip distribution matrix using "Gravity Model" of transport system with given the data: Trip Production of Zones 1, 2 and 3, correspondingly are 500, 600, and 800 tpd Trip Attraction of Zones 1, 2 and 3, correspondingly are 600, 700 and 600 tpd
- Note: Read the question carefully and give me BOTH right solutions with clear calculations. Vehicles begin to arrive at a toll booth at 5 vehicles per minute from 7 AM to 8 AM. The booth opens at 7:15 AM and services at a rate of 3 vehicles per minute until 7:45 AM. From 7:45 AM until 8 AM the service rate is 6 vehicles per minute. Assuming D/D/1 queuing, (A) have all vehicles that arrived between 7AM and 8AM exited the queue? and (B) what is the total vehicle delay while the queue exists?NHA plans to construct road (50 km + 135)for comfortable mobilization. There are two options available:a) spend PKR 15 billion now to construct 14 m wide carriageway, and widen it to 21 m in 15 years for PKR 18 billion more,b) construct 21 m wide road now for PKR 21 billion. Propose suitable alternative for above project by considering normal inflation while taking analysis period of 35 years, Interest is 6% and ignore maintenance costs.Question:- Traffic counts in the year 2000 at a counting point on a national highway gave ADT as follows: 4000cars,1750 taxis,250 trucks,100 buses.National traffic growth in the area is expected to be 5% for private cars and taxis, 3% for trucks and buses.After improvements, generated traffic for the highway will be 20 % of the 2000 ADT.It is required to design the cross-section of the highway to satisfy the traffic needs by the year 2015 show all visible dimensions on a drawing sketch. Take:-K= 0.15PLC = 800 p.c.e'/hour.directional distribution (D) is 0.6