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/h and C is the cost/veh in cents. The demand for travel across the bridge is V = 2,000 − 10C.(a)Determine the volume of traffic across the bridge (in veh/h). veh/h(b)If a toll of 25 cents is added, what is the volume across the bridge (in veh/h)? veh/hWhat volume (in veh/h) would be expected with a 50 cent increase? veh/h(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 (in veh/h). veh/h(d)Determine the toll (in dollars) to yield the highest revenue for demand and supply function in part (a), and the associated demand (in veh/h) and revenue (in dollars/hour).toll$ Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.demand Your response differs from the correct answer by more than 10%. Double check your calculations. veh/hrevenue$ Your response differs from the correct answer by more than 10%. Double check your calculations./h 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/h and C is the cost/vehin cents. The demand for travel across the bridge is V = 2,000 - 10C.(a) Determine the volume of traffic across the bridge (in veh/h).veh/h250(b) If a toll of 25 cents is added, what is the volume across the bridge (in veh/h)?208veh/hWhat volume (in veh/h) would be expected with a 50 cent increase?167veh/h(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 (in veh/h).500veh/h(d) Determine the toll (in dollars) to yield the highest revenue for demand and supply function in part (a), and the associated demand (in veh/h) and revenue (in dollars/hour).$XYour response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.tolldemandrevenueXYour response differs from the correct answer by more than 10%. Double check your calculations. veh/h$XYour response differs from the correct answer by more than 10%. Double check your calculations./h

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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/h and C is the cost/veh in cents. The demand for travel across the bridge is V = 2,000 - 10C. (a) Determine the volume of traffic across the bridge (in veh/h). 250 ✔ veh/h (b) If a toll of 25 cents is added, what is the volume across the bridge (in veh/h)? 208 ✓ veh/h What volume (in veh/h) would be expected with a 50 cent increase? 167 ✓ veh/h (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 (in veh/h). 500 ✔ veh/h (d) Determine the toll (in dollars) to yield the highest revenue for demand and supply function in part (a), and the associated demand (in veh/h) and revenue (in dollars/hour). $ X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. toll demand revenue x Your response differs from the correct answer by more than 10%. Double check your calculations. veh/h $ X Your response differs from the correct answer by more than 10%. Double check your calculations./h

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Related questions

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/h and C is the cost/veh in cents. The demand for travel across the bridge is

V = 2,000 − 10C.

(a)

Determine the volume of traffic across the bridge (in veh/h).

veh/h

(b)

If a toll of 25 cents is added, what is the volume across the bridge (in veh/h)?

veh/h

What volume (in veh/h) would be expected with a 50 cent increase?

veh/h

(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 (in veh/h).

veh/h

(d)

Determine the toll (in dollars) to yield the highest revenue for demand and supply function in part (a), and the associated demand (in veh/h) and revenue (in dollars/hour).

toll$
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.demand
Your response differs from the correct answer by more than 10%. Double check your calculations. veh/hrevenue$
Your response differs from the correct answer by more than 10%. Double check your calculations./h

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/h and C is the cost/veh
in cents. The demand for travel across the bridge is V = 2,000 - 10C.
(a) Determine the volume of traffic across the bridge (in veh/h).
veh/h
250
(b) If a toll of 25 cents is added, what is the volume across the bridge (in veh/h)?
208
veh/h
What volume (in veh/h) would be expected with a 50 cent increase?
167
veh/h
(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 (in veh/h).
500
veh/h
(d) Determine the toll (in dollars) to yield the highest revenue for demand and supply function in part (a), and the associated demand (in veh/h) and revenue (in dollars/hour).
$
X
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.
toll
demand
revenue
X
Your response differs from the correct answer by more than 10%. Double check your calculations. veh/h
$
X
Your response differs from the correct answer by more than 10%. Double check your calculations./h

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