A harbour ferry service has about 240 000 riders per day for a fare of $2. The port authority wants to increase the fare to help with increasing operational costs.
Research has shown that for every $0.10 increase in the fare the number of riders
will drop by 10 000. [8 marks]
a) Total revenue is the product of the price per fare and the number of riders. Write an
expression to represent the revenue for the harbour ferry. [2]

b) Find the maximum revenue. [4]

c) For this revenue, how many riders take the ferry and how much is the fare per
person? [2]