A train service carries 20,000 people daily between Rationalia and Real City. The rail line could serve up to 31,000 people. The cost to ride the train is $π, but research shows that for each fare increase of $0.02, ridership will go down by 271 people.

1. Create a function to represent the revenue of the train service after x increases of $0.02. [2 marks]
2. Given the constraints of the problem, what is the domain of your function? [2 marks]
3. What fare should be charged to maximize revenue? [3 marks]
4. If each rider costs the rail service $0.10, what fare should be charged to maximize profit? [4 marks]

Answer rating: 100% (QA)

1 To represent the revenue of the train service after x increases of 002 we first need to determine ... View the full answer