11. 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 $, but

research shows that for each fare increase of $0.02, ridership will go down by 271 people. a. Create a function to represent the revenue of the train service after x increases of $0.02. [2 marks] b. Given the constraints of the problem, what is the domain of your function? [2 marks] c. What fare should be charged to maximize revenue? [3 marks] d. If each rider costs the rail service $0.10, what fare should be charged to maximize profit? [4 marks]