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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?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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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?
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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