I get a strange answer.
Is there a typo in the problem?
A film processory has 10 pickup stations in Manhattan
and each of them produces an average daily revenue of $500.
A study has shown that opening additional pickup stations will reduce
the average daily revenue for each location by $50 for each new station.
The company considers opening no more than 10 additional stations.
How many new stations should be opened to maximize revenue?
Let = number of new stations to be opened.
There will be stations operating.
Each will produce dollars in revenue.
The total revenue is: .
To maximize revenue:
Therefore, they should open no new stations.
. . . They are already making maximum revenue!