Vday. The current toll is $3.50/vehicle. Studies haves of 50 cents, the traftic volume will decrease by 500 v oll to a point where revenue will be maximized. - travel demand on the bridge, related to toll increa day after the toll increase.
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- 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.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.
- 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 revenue1A 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 tallA 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.
- 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.(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 aboveConsider a Design-and-Build project of a single-entrance toll plaza awarded to XYZConstruction Corp. Based on the traffic surveys conducted during planning phase, it was found out that the present travel demandalong the existing highway isfollows a negative exponential distributionwith a mean of 4XYZkph. On the other hand, the company received three bid proposals of equipment that they may install in the toll servers with their corresponding service rates:Equipment I(random service)0.7Xseconds per vehicleEquipment II(random service)0.5+Y/100seconds per vehicleEquipment III(regular service)0.8Zseconds per vehicleIn addition, the demand is projected to increase annually by a factor of 1.3Z. If you are the transport planner tasked to design the toll facility, determine the following5years hence:i.The average waiting time of vehicles if Equipment Iwill be installed.ii.The average time spent in the system if Equipment IIIwill be installed.iii.What equipmentwould you recommend as the most…
- 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.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 Department of Traffic is considering three improvement plans for a heavily traveled intersection within the city. The intersection improvement is expected to achieve three goals: improve travel speeds, increase safety, and reduce operating expenses for motorists. The annual dollar value of savings compared with existing conditions for each criterion as well as additional construction and maintenancecosts is shown in the table below. If the economic life of the road is considered to be 60 years and the discount rate is 3.5%, which alternative should be selected? Solve the problem using the four methods for economic analysis.