In order to reduce bridge congestion, a rapid transit line is to be established between two communities separated by a river. It is projected that 2400 passengers will ride the train each day if the fare is $4.00 per person, and that for every $0.20 decrease in per person fare, 200 more passengers will decide to take the train rather than drive. What fare should be charged to maximize the revenue? What far will maximize the revenue if the trains can carry at most 3000 passengers per day?
In order to reduce bridge congestion, a rapid transit line is to be established between two communities separated by a river. It is projected that 2400 passengers will ride the train each day if the fare is $4.00 per person, and that for every $0.20 decrease in per person fare, 200 more passengers will decide to take the train rather than drive. What fare should be charged to maximize the revenue? What far will maximize the revenue if the trains can carry at most 3000 passengers per day?
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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Transcribed Image Text:In order to reduce bridge congestion, a rapid transit
line is to be established between two communities separated by a river. It is projected
that 2400 passengers will ride the train each day if the fare is $4.00 per person, and that
for every $0.20 decrease in per person fare, 200 more passengers will decide to take the
train rather than drive. What fare should be charged to maximize the revenue? What far=
will maximize the revenue if the trains can carry at most 3000 passengers per day?
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