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? (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

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? (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

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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 revenue

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