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 tra
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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 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 cost
function is C = 50 + 0.2V. Determine the volume of traffic that would cross the bridge.
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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 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 revenueA 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.
- 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 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 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.
- Consideration 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?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 55A truck rental company has two types of trucks. Type A has 20 cubic meters of refrigerated space and 40 cubic meters of non-refrigerated space, and type B has 30 cubic meters of refrigerated space and also 30 cubic meters of non-refrigerated space. A food plant must ship 900 cubic meters of refrigerated food and 1200 cubic meters of non-refrigerated food. Suppose truck A rents for $0.90 per mile and B for $1.20. Find the number of trucks of each type that the plant should rent so as to minimize cost. Type A Type B Minimum Cost Note: Input numerical values only. Page 320
- Average 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.Question 50 At 7.7%, a bridge cost P 210M with a life of 21 years. The bridge must be partially rebuilt at a cost of P 100 M at the end of each 21 years, Calculate the capitalized dost if an annual maintenance of P 510,000 is required. Express your answer in whole number. « < Question 50 of 50 A Click Submit to complete this assessment. Save and Submit acer F11 PrtSc Del Home Pg Up F7 F8 F9 F10 F12 Pause F5 F6 FZ F3 Scr Lk SysRq Break Ins #3 24 % & 4-Backspace 5 € 7 8 W E Y U D F G K ~の エ 61A 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 tall