A commuter train carries 600 passengers each day from a town to a city. A one-way trip costs 100 per person. Market research reveals that 10 fewer people would ride the train with every 1 increase in the fare. What fare should be charged to get the largest possible revenue?
Here the variables are
the number of passengers,
the price per ticket,
and the revenue.
We have
We obtain
The revenue has the absolute maximum with value of 64000 at price 80.
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