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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.A Return Period or Recurrance Interval is equivalent to the inverse of the probability of the event ocurring?Consider 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 traffic enforcer counts the number of vehicles at a specific location in the highway. In hiscounting, there are 420 vehicles arrived in span of 1 hour. Assuming that the arrival of vehicles isPoisson distributed, estimate the probabilities of having 7 or more vehicles arriving over a 30-secondtime intervalThree 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.At a specified point on a highway, vehicles are known to arrive according to a Poissonprocess. Vehicles are counted in 30-second intervals, and vehicle counts are taken in 120 ofthese time intervals. It is noted that no cars arrive in 18 of these 120 intervals. a) Approximate the number of these 120 intervals in which exactly three cars arrive. b) Estimate the Percentage of time headways that will be 10 seconds or greater andthose that will be less than 6 seconds.
- is the following true / false / maybe ? " in transportation problem , shipments can occur between any two transshipment nodes.In this problem, assume a propagation 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 endto-end delay?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.
- Question. 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?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.The table below shows data obtained in a travel time study on a section of highway using the moving-vehicle technique. Estimate (a) the travel time and (b) the volume in each direction at this section of the highway. Choices for northward: Tn = 5.9, 6.2, 5.2, 4.9 Vn = 535, 505, 514, 555 Choices for southward: Ts = 6.2, 5.2, 4.9, 5.9 Vs = 555, 535, 505, 517 Help me pls. I will upvote, Badly need your help. Thankyou :)