Tourists arrive at the Manila Zoo at a rate of 250 vehicles per hour. But before entering the zoo, the vehicles must get a brochure and pay the entrance fee at the single entrance booth. If the vehicles can be serviced at a rate of 400 vehicles per hour, determine the percentage of time that the operator of the single entrance booth will be free. Note: Round off your answers to the nearest thousandths. Only include the numeric value of your answer without the unit (i.e. 0.123).
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- The zone production and attraction values were estimated as follows, where the values are unbalanced. Zone A B C D Production Attraction 370 100 250 350 450 260 350 300 The balanced value of # of trips attracted to Zone B equals (Report your answer correct to one digit after the decimal)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 placesGiven the following transportation network and the production/attraction data in each zone. 3 min 3 3 min 4 min 3 min 4 min 2 min 4 min 2 7 min Production/Attraction Table Zone 1 2 3 4 5 Production 600 1000 500 Attraction 300 200 350 400 The number of trips that originates from Zone 3 and ends in Zone 1 is 13 88 29 None of the above
- QUESTION 2 There are 30 ticket vending machines to service an hourly passenger demand of 8,750. How quickly must the process of purchasing tickets occur? Tickets are mandatory for all passengers. Provide your response to the nearest tenth of a second.II. In a basketball game at the Arena, Pasay City, the booth opened at 4pm, and vehicles began to arrive at a rate of 2400 vph for 25 minutes and then changes to 600 vph. The fee booth attendant spends 3 seconds with each car. Determine the following: 4)Longest queue. a) 400 veh b) 290 veh c) 500 veh d) 530 veh 5)Time when queue dissipates. a) 55:10 pm b) 5:15 pm c) 4:48 pm 6)Queue of vehicles at 4:42pm. a) 330 veh b) 380 veh c) 275 veh 7) At what time did the 1,110th vehicle entered the queue. a) 5:12 pm b) 43:26 pm c) 4:36 pm 8) How much time that the 1,110 vehicle spent in the queue. a) 13.5min c) 22.75min b) 20.25 min 9)Total vehicle delay in vehicle-hour. a) 38.15 ve.hr b) 362.25 veh. hr c) 375.75veh.hr d) 312.5 veh.hr d) 6:02 pm d) 305 veh d) 4:54 pm d)24.50minHow many ticket vending machines will be needed if the hourly passenger demand is expected to be 8,750 and it takes each passenger 8 seconds to retrieve a ticket? Tickets are mandatory for all passengers. Round up your answer to the nearest integer (i.e. ticket vending machine).
- to no congestion on the road further downstream of the railway grade crossing. QUESTION 5: Consider trip distribution within 5 zones in an area. The total trip production from zone 1 is 1000. The travel times from zone 1 to zones 2, 3, 4 and 5 are 5, 10, 20, and 30 minutes, respectively. The trip attraction to zones 2, 3, 4 and 5 are 50, 200, 75, and 450, respectively. Assume that the number of trips produced from zone 1 to zones 2, 3, 4 and 5 is inversely proportional to the inter-zonal travel time. (a) Estimate the number of trips from zone 1 to zones 2, 3, 4 and 5 using the gravity model. (b) Assume that the future trip production from zone I will increase to 1,250 and the future trip attraction to zones 2, 3, 4 and 5 will increase to 100, 225, 100, and 600, respectively. Predict the number of trips from zone 1 to zones 2, 3, 4 and 5. The inter-zonal travel times remain the same. (c) Compare the number of trips from zone 1 to each destination zone between (a) and (b). Identify the…The total number of trips from ABC to XYC is 4500. All of the trips are made using car. The government proposed two alternatives, a train and a bus. The utility is given by the equation: U = -0.05(TT)-0.04(WT) - 0.07(W) - 0.2(F) - 0.2(P) TT in-vehicle travel time WT- walking time to terminal W-waiting time F-fare P-parking cost The travel time for private car is 20 minutes, 12 for bus and 10 for train. Walking time for different terminals for bus and train is 10 and 15 minutes respectively. The waiting time is 8 and 6 minutes for bus and train respectively, and the fare for car, bus and train is at $20, $8.5 and $7 dollars respectively. Parking cost for car is $3. What is the total number of trips by train?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?
- Vehicles begin to arrive to a parking lot at 7:00 AM at a rate of 2000 veh/hour, but the demand reduces to 1000 veh/hour at 7:30 AM and continues at that rate. The ticketing booth to enter the parking lot can only serve the vehicles at 1000 veh/hour until 7:15 AM, after which the service rate increases to 2000 veh/hour. Assuming D/D/1 queuing, draw a queuing diagram for this situation. Find: a) the time at which the queue clears, b) the total delay, c) the longest queue length, and d) wait time of the 500th and 2000th vehicles to arrive to the parking lot (assuming FIFO conditions)?A theme park has a single entrance gate where visitors must stop and pay for parking. The average arrival rate during the peak hour is 150 veh/h and is Poisson distributed. It takes, on average, 18 seconds per vehicle (exponentially distributed) to pay for parking. What is the average time in the system for this queuing system in minutes/veh? Answer in one-decimal placeCommuters choose auto or bus for their trips. The utility function for each travel mode was calibrated as follows: where V=C-0.10* X₁ -0.13* X₂-0.12 X3-0.0045 X4 * V = observable utilities; C = constant; X₁ = waiting time (min); X₂ = travel time (min); X3 = parking time (min); X₁ = out-of-pocket cost (cents). The values of the parameters in the above utility function for each mode are shown below. C X₁ (min) X₂ (min) X3 (min) X4 (cents) 225 100 Mode Auto Bus Mode Light rail -0.33 -0.27 с 0 10 (a) Calculate the mode splits of auto and bus using the multinomial logit model. (b) In the part (a), the new light rail will be added as the third mode of travel. The utility function for light rail is the same as above and the values of the parameters for light rail are shown below. 0 20 35 5 0 X₁ (min) X₂ (min) 15 25 X3 (min) X4 (cents) 0 150 Predict the mode splits of auto, bus and light rail using the multinomial logit model. (c) Does the result in (b) make intuitive sense? Comment on the…